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Finding the Fourth Proportional to 8,357.61, 12,539.66 and 3,429.57

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Solution

The fourth proportional to 8,357.61, 12,539.66 and 3,429.57 is: 5,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.61 : 12,539.66 = 3,429.57 : x
  2. Step 2: Convert to fraction form
    8,357.61/12,539.66 = 3,429.57/x
  3. Step 3: Cross multiply
    8,357.61x = 12,539.66 × 3,429.57
  4. Step 4: Simplify right side
    8,357.61x = 43,005,624.60
  5. Step 5: Solve for x
    x = 43,005,624.60/8,357.61
  6. Step 6: Final answer
    x = 5,145.68

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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.