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Finding the Fourth Proportional to 8,342.14, 12,513.20 and 5,056.16

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Solution

The fourth proportional to 8,342.14, 12,513.20 and 5,056.16 is: 7,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.14 : 12,513.20 = 5,056.16 : x
  2. Step 2: Convert to fraction form
    8,342.14/12,513.20 = 5,056.16/x
  3. Step 3: Cross multiply
    8,342.14x = 12,513.20 × 5,056.16
  4. Step 4: Simplify right side
    8,342.14x = 63,268,741.31
  5. Step 5: Solve for x
    x = 63,268,741.31/8,342.14
  6. Step 6: Final answer
    x = 7,584.23

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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.