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Finding the Fourth Proportional to 12,937.28, 17,853.72 and 7,348.16

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Solution

The fourth proportional to 12,937.28, 17,853.72 and 7,348.16 is: 10,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.28 : 17,853.72 = 7,348.16 : x
  2. Step 2: Convert to fraction form
    12,937.28/17,853.72 = 7,348.16/x
  3. Step 3: Cross multiply
    12,937.28x = 17,853.72 × 7,348.16
  4. Step 4: Simplify right side
    12,937.28x = 131,191,991.16
  5. Step 5: Solve for x
    x = 131,191,991.16/12,937.28
  6. Step 6: Final answer
    x = 10,140.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.