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Finding the Fourth Proportional to 8,465.95, 12,686.17 and 7,543.16

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Solution

The fourth proportional to 8,465.95, 12,686.17 and 7,543.16 is: 11,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.95 : 12,686.17 = 7,543.16 : x
  2. Step 2: Convert to fraction form
    8,465.95/12,686.17 = 7,543.16/x
  3. Step 3: Cross multiply
    8,465.95x = 12,686.17 × 7,543.16
  4. Step 4: Simplify right side
    8,465.95x = 95,693,789.53
  5. Step 5: Solve for x
    x = 95,693,789.53/8,465.95
  6. Step 6: Final answer
    x = 11,303.37

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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.