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Finding the Fourth Proportional to 8,292.72, 12,443.40 and 7,814.64

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Solution

The fourth proportional to 8,292.72, 12,443.40 and 7,814.64 is: 11,726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.72 : 12,443.40 = 7,814.64 : x
  2. Step 2: Convert to fraction form
    8,292.72/12,443.40 = 7,814.64/x
  3. Step 3: Cross multiply
    8,292.72x = 12,443.40 × 7,814.64
  4. Step 4: Simplify right side
    8,292.72x = 97,240,691.38
  5. Step 5: Solve for x
    x = 97,240,691.38/8,292.72
  6. Step 6: Final answer
    x = 11,726.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.