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Finding the Fourth Proportional to 10,705.92, 14,777.28 and 6,521.76

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Solution

The fourth proportional to 10,705.92, 14,777.28 and 6,521.76 is: 9,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.92 : 14,777.28 = 6,521.76 : x
  2. Step 2: Convert to fraction form
    10,705.92/14,777.28 = 6,521.76/x
  3. Step 3: Cross multiply
    10,705.92x = 14,777.28 × 6,521.76
  4. Step 4: Simplify right side
    10,705.92x = 96,373,873.61
  5. Step 5: Solve for x
    x = 96,373,873.61/10,705.92
  6. Step 6: Final answer
    x = 9,001.92

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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.