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Finding the Fourth Proportional to 7,892.67, 11,814.33 and 5,815.02

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Solution

The fourth proportional to 7,892.67, 11,814.33 and 5,815.02 is: 8,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.67 : 11,814.33 = 5,815.02 : x
  2. Step 2: Convert to fraction form
    7,892.67/11,814.33 = 5,815.02/x
  3. Step 3: Cross multiply
    7,892.67x = 11,814.33 × 5,815.02
  4. Step 4: Simplify right side
    7,892.67x = 68,700,565.24
  5. Step 5: Solve for x
    x = 68,700,565.24/7,892.67
  6. Step 6: Final answer
    x = 8,704.35

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Why These Related Problems?

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