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Finding the Fourth Proportional to 10,456.92, 15,652.17 and 7,808.76

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Solution

The fourth proportional to 10,456.92, 15,652.17 and 7,808.76 is: 11,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.92 : 15,652.17 = 7,808.76 : x
  2. Step 2: Convert to fraction form
    10,456.92/15,652.17 = 7,808.76/x
  3. Step 3: Cross multiply
    10,456.92x = 15,652.17 × 7,808.76
  4. Step 4: Simplify right side
    10,456.92x = 122,224,039.01
  5. Step 5: Solve for x
    x = 122,224,039.01/10,456.92
  6. Step 6: Final answer
    x = 11,688.34

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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.