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Finding the Fourth Proportional to 10,772.34, 14,866.13 and 6,296.28

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Solution

The fourth proportional to 10,772.34, 14,866.13 and 6,296.28 is: 8,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.34 : 14,866.13 = 6,296.28 : x
  2. Step 2: Convert to fraction form
    10,772.34/14,866.13 = 6,296.28/x
  3. Step 3: Cross multiply
    10,772.34x = 14,866.13 × 6,296.28
  4. Step 4: Simplify right side
    10,772.34x = 93,601,360.61
  5. Step 5: Solve for x
    x = 93,601,360.61/10,772.34
  6. Step 6: Final answer
    x = 8,689.04

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