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Finding the Fourth Proportional to 10,602.69, 14,631.05 and 6,125.72

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Solution

The fourth proportional to 10,602.69, 14,631.05 and 6,125.72 is: 8,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.69 : 14,631.05 = 6,125.72 : x
  2. Step 2: Convert to fraction form
    10,602.69/14,631.05 = 6,125.72/x
  3. Step 3: Cross multiply
    10,602.69x = 14,631.05 × 6,125.72
  4. Step 4: Simplify right side
    10,602.69x = 89,625,715.61
  5. Step 5: Solve for x
    x = 89,625,715.61/10,602.69
  6. Step 6: Final answer
    x = 8,453.11

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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.