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Finding the Fourth Proportional to 10,329.10, 14,253.93 and 5,729.74

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Solution

The fourth proportional to 10,329.10, 14,253.93 and 5,729.74 is: 7,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.10 : 14,253.93 = 5,729.74 : x
  2. Step 2: Convert to fraction form
    10,329.10/14,253.93 = 5,729.74/x
  3. Step 3: Cross multiply
    10,329.10x = 14,253.93 × 5,729.74
  4. Step 4: Simplify right side
    10,329.10x = 81,671,312.88
  5. Step 5: Solve for x
    x = 81,671,312.88/10,329.10
  6. Step 6: Final answer
    x = 7,906.91

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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.