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Finding the Fourth Proportional to 11,776.58, 16,240.11 and 10,804.17

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Solution

The fourth proportional to 11,776.58, 16,240.11 and 10,804.17 is: 14,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.58 : 16,240.11 = 10,804.17 : x
  2. Step 2: Convert to fraction form
    11,776.58/16,240.11 = 10,804.17/x
  3. Step 3: Cross multiply
    11,776.58x = 16,240.11 × 10,804.17
  4. Step 4: Simplify right side
    11,776.58x = 175,460,929.64
  5. Step 5: Solve for x
    x = 175,460,929.64/11,776.58
  6. Step 6: Final answer
    x = 14,899.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.