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Finding the Fourth Proportional to 8,437.86, 12,656.47 and 2,594.31

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Solution

The fourth proportional to 8,437.86, 12,656.47 and 2,594.31 is: 3,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.86 : 12,656.47 = 2,594.31 : x
  2. Step 2: Convert to fraction form
    8,437.86/12,656.47 = 2,594.31/x
  3. Step 3: Cross multiply
    8,437.86x = 12,656.47 × 2,594.31
  4. Step 4: Simplify right side
    8,437.86x = 32,834,806.69
  5. Step 5: Solve for x
    x = 32,834,806.69/8,437.86
  6. Step 6: Final answer
    x = 3,891.37

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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.