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Finding the Fourth Proportional to 10,729.47, 14,803.17 and 6,252.20

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Solution

The fourth proportional to 10,729.47, 14,803.17 and 6,252.20 is: 8,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.47 : 14,803.17 = 6,252.20 : x
  2. Step 2: Convert to fraction form
    10,729.47/14,803.17 = 6,252.20/x
  3. Step 3: Cross multiply
    10,729.47x = 14,803.17 × 6,252.20
  4. Step 4: Simplify right side
    10,729.47x = 92,552,305.46
  5. Step 5: Solve for x
    x = 92,552,305.46/10,729.47
  6. Step 6: Final answer
    x = 8,625.99

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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.