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Finding the Fourth Proportional to 10,489.01, 14,472.44 and 7,657.92

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Solution

The fourth proportional to 10,489.01, 14,472.44 and 7,657.92 is: 10,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.01 : 14,472.44 = 7,657.92 : x
  2. Step 2: Convert to fraction form
    10,489.01/14,472.44 = 7,657.92/x
  3. Step 3: Cross multiply
    10,489.01x = 14,472.44 × 7,657.92
  4. Step 4: Simplify right side
    10,489.01x = 110,828,749.44
  5. Step 5: Solve for x
    x = 110,828,749.44/10,489.01
  6. Step 6: Final answer
    x = 10,566.18

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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.