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Finding the Fourth Proportional to 8,437.97, 12,657.15 and 2,594.63

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Solution

The fourth proportional to 8,437.97, 12,657.15 and 2,594.63 is: 3,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.97 : 12,657.15 = 2,594.63 : x
  2. Step 2: Convert to fraction form
    8,437.97/12,657.15 = 2,594.63/x
  3. Step 3: Cross multiply
    8,437.97x = 12,657.15 × 2,594.63
  4. Step 4: Simplify right side
    8,437.97x = 32,840,557.82
  5. Step 5: Solve for x
    x = 32,840,557.82/8,437.97
  6. Step 6: Final answer
    x = 3,892.00

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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.