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Finding the Fourth Proportional to 8,437.80, 12,656.32 and 2,891.64

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Solution

The fourth proportional to 8,437.80, 12,656.32 and 2,891.64 is: 4,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.80 : 12,656.32 = 2,891.64 : x
  2. Step 2: Convert to fraction form
    8,437.80/12,656.32 = 2,891.64/x
  3. Step 3: Cross multiply
    8,437.80x = 12,656.32 × 2,891.64
  4. Step 4: Simplify right side
    8,437.80x = 36,597,521.16
  5. Step 5: Solve for x
    x = 36,597,521.16/8,437.80
  6. Step 6: Final answer
    x = 4,337.33

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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.