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Finding the Fourth Proportional to 11,785.84, 16,264.74 and 6,481

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Solution

The fourth proportional to 11,785.84, 16,264.74 and 6,481 is: 8,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.84 : 16,264.74 = 6,481 : x
  2. Step 2: Convert to fraction form
    11,785.84/16,264.74 = 6,481/x
  3. Step 3: Cross multiply
    11,785.84x = 16,264.74 × 6,481
  4. Step 4: Simplify right side
    11,785.84x = 105,411,779.94
  5. Step 5: Solve for x
    x = 105,411,779.94/11,785.84
  6. Step 6: Final answer
    x = 8,943.93

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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.