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Finding the Fourth Proportional to 8,159.86, 11,176.25 and 7,681.12

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Solution

The fourth proportional to 8,159.86, 11,176.25 and 7,681.12 is: 10,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.86 : 11,176.25 = 7,681.12 : x
  2. Step 2: Convert to fraction form
    8,159.86/11,176.25 = 7,681.12/x
  3. Step 3: Cross multiply
    8,159.86x = 11,176.25 × 7,681.12
  4. Step 4: Simplify right side
    8,159.86x = 85,846,117.40
  5. Step 5: Solve for x
    x = 85,846,117.40/8,159.86
  6. Step 6: Final answer
    x = 10,520.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.