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Finding the Fourth Proportional to 10,489.92, 14,476 and 5,953.46

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Solution

The fourth proportional to 10,489.92, 14,476 and 5,953.46 is: 8,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.92 : 14,476 = 5,953.46 : x
  2. Step 2: Convert to fraction form
    10,489.92/14,476 = 5,953.46/x
  3. Step 3: Cross multiply
    10,489.92x = 14,476 × 5,953.46
  4. Step 4: Simplify right side
    10,489.92x = 86,182,286.96
  5. Step 5: Solve for x
    x = 86,182,286.96/10,489.92
  6. Step 6: Final answer
    x = 8,215.72

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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.