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Finding the Fourth Proportional to 11,298.60, 15,581.90 and 7,711.92

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Solution

The fourth proportional to 11,298.60, 15,581.90 and 7,711.92 is: 10,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.60 : 15,581.90 = 7,711.92 : x
  2. Step 2: Convert to fraction form
    11,298.60/15,581.90 = 7,711.92/x
  3. Step 3: Cross multiply
    11,298.60x = 15,581.90 × 7,711.92
  4. Step 4: Simplify right side
    11,298.60x = 120,166,385.53
  5. Step 5: Solve for x
    x = 120,166,385.53/11,298.60
  6. Step 6: Final answer
    x = 10,635.51

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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.