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Finding the Fourth Proportional to 10,462.62, 14,438.40 and 5,746.86

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Solution

The fourth proportional to 10,462.62, 14,438.40 and 5,746.86 is: 7,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.62 : 14,438.40 = 5,746.86 : x
  2. Step 2: Convert to fraction form
    10,462.62/14,438.40 = 5,746.86/x
  3. Step 3: Cross multiply
    10,462.62x = 14,438.40 × 5,746.86
  4. Step 4: Simplify right side
    10,462.62x = 82,975,463.42
  5. Step 5: Solve for x
    x = 82,975,463.42/10,462.62
  6. Step 6: Final answer
    x = 7,930.66

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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.