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Finding the Fourth Proportional to 11,807.12, 16,288.94 and 7,026.11

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Solution

The fourth proportional to 11,807.12, 16,288.94 and 7,026.11 is: 9,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.12 : 16,288.94 = 7,026.11 : x
  2. Step 2: Convert to fraction form
    11,807.12/16,288.94 = 7,026.11/x
  3. Step 3: Cross multiply
    11,807.12x = 16,288.94 × 7,026.11
  4. Step 4: Simplify right side
    11,807.12x = 114,447,767.65
  5. Step 5: Solve for x
    x = 114,447,767.65/11,807.12
  6. Step 6: Final answer
    x = 9,693.12

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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.