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Finding the Fourth Proportional to 8,357.59, 12,534.81 and 4,196.47

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Solution

The fourth proportional to 8,357.59, 12,534.81 and 4,196.47 is: 6,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.59 : 12,534.81 = 4,196.47 : x
  2. Step 2: Convert to fraction form
    8,357.59/12,534.81 = 4,196.47/x
  3. Step 3: Cross multiply
    8,357.59x = 12,534.81 × 4,196.47
  4. Step 4: Simplify right side
    8,357.59x = 52,601,954.12
  5. Step 5: Solve for x
    x = 52,601,954.12/8,357.59
  6. Step 6: Final answer
    x = 6,293.91

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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.