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Finding the Fourth Proportional to 10,602.32, 15,901.92 and 2,811.68

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Solution

The fourth proportional to 10,602.32, 15,901.92 and 2,811.68 is: 4,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.32 : 15,901.92 = 2,811.68 : x
  2. Step 2: Convert to fraction form
    10,602.32/15,901.92 = 2,811.68/x
  3. Step 3: Cross multiply
    10,602.32x = 15,901.92 × 2,811.68
  4. Step 4: Simplify right side
    10,602.32x = 44,711,110.43
  5. Step 5: Solve for x
    x = 44,711,110.43/10,602.32
  6. Step 6: Final answer
    x = 4,217.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.