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Finding the Fourth Proportional to 8,385.57, 11,566.23 and 7,117.88

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Solution

The fourth proportional to 8,385.57, 11,566.23 and 7,117.88 is: 9,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.57 : 11,566.23 = 7,117.88 : x
  2. Step 2: Convert to fraction form
    8,385.57/11,566.23 = 7,117.88/x
  3. Step 3: Cross multiply
    8,385.57x = 11,566.23 × 7,117.88
  4. Step 4: Simplify right side
    8,385.57x = 82,327,066.11
  5. Step 5: Solve for x
    x = 82,327,066.11/8,385.57
  6. Step 6: Final answer
    x = 9,817.71

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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.