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Finding the Fourth Proportional to 11,397, 15,725.96 and 7,614.10

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Solution

The fourth proportional to 11,397, 15,725.96 and 7,614.10 is: 10,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397 : 15,725.96 = 7,614.10 : x
  2. Step 2: Convert to fraction form
    11,397/15,725.96 = 7,614.10/x
  3. Step 3: Cross multiply
    11,397x = 15,725.96 × 7,614.10
  4. Step 4: Simplify right side
    11,397x = 119,739,032.04
  5. Step 5: Solve for x
    x = 119,739,032.04/11,397
  6. Step 6: Final answer
    x = 10,506.19

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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.