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Finding the Fourth Proportional to 8,437.92, 12,656.70 and 4,566.84

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Solution

The fourth proportional to 8,437.92, 12,656.70 and 4,566.84 is: 6,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.92 : 12,656.70 = 4,566.84 : x
  2. Step 2: Convert to fraction form
    8,437.92/12,656.70 = 4,566.84/x
  3. Step 3: Cross multiply
    8,437.92x = 12,656.70 × 4,566.84
  4. Step 4: Simplify right side
    8,437.92x = 57,801,123.83
  5. Step 5: Solve for x
    x = 57,801,123.83/8,437.92
  6. Step 6: Final answer
    x = 6,850.16

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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.