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Finding the Fourth Proportional to 10,462.62, 14,438.61 and 5,747.07

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Solution

The fourth proportional to 10,462.62, 14,438.61 and 5,747.07 is: 7,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.62 : 14,438.61 = 5,747.07 : x
  2. Step 2: Convert to fraction form
    10,462.62/14,438.61 = 5,747.07/x
  3. Step 3: Cross multiply
    10,462.62x = 14,438.61 × 5,747.07
  4. Step 4: Simplify right side
    10,462.62x = 82,979,702.37
  5. Step 5: Solve for x
    x = 82,979,702.37/10,462.62
  6. Step 6: Final answer
    x = 7,931.06

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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.