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Finding the Fourth Proportional to 8,437.59, 12,646.87 and 5,143.46

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Solution

The fourth proportional to 8,437.59, 12,646.87 and 5,143.46 is: 7,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.59 : 12,646.87 = 5,143.46 : x
  2. Step 2: Convert to fraction form
    8,437.59/12,646.87 = 5,143.46/x
  3. Step 3: Cross multiply
    8,437.59x = 12,646.87 × 5,143.46
  4. Step 4: Simplify right side
    8,437.59x = 65,048,593.88
  5. Step 5: Solve for x
    x = 65,048,593.88/8,437.59
  6. Step 6: Final answer
    x = 7,709.38

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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.