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Finding the Fourth Proportional to 8,342.40, 12,513.28 and 3,728.64

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Solution

The fourth proportional to 8,342.40, 12,513.28 and 3,728.64 is: 5,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.40 : 12,513.28 = 3,728.64 : x
  2. Step 2: Convert to fraction form
    8,342.40/12,513.28 = 3,728.64/x
  3. Step 3: Cross multiply
    8,342.40x = 12,513.28 × 3,728.64
  4. Step 4: Simplify right side
    8,342.40x = 46,657,516.34
  5. Step 5: Solve for x
    x = 46,657,516.34/8,342.40
  6. Step 6: Final answer
    x = 5,592.82

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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.