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Finding the Fourth Proportional to 8,257.79, 11,397.78 and 5,071.85

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Solution

The fourth proportional to 8,257.79, 11,397.78 and 5,071.85 is: 7,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.79 : 11,397.78 = 5,071.85 : x
  2. Step 2: Convert to fraction form
    8,257.79/11,397.78 = 5,071.85/x
  3. Step 3: Cross multiply
    8,257.79x = 11,397.78 × 5,071.85
  4. Step 4: Simplify right side
    8,257.79x = 57,807,830.49
  5. Step 5: Solve for x
    x = 57,807,830.49/8,257.79
  6. Step 6: Final answer
    x = 7,000.40

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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.