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Finding the Fourth Proportional to 11,412.10, 15,743.85 and 7,160.27

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Solution

The fourth proportional to 11,412.10, 15,743.85 and 7,160.27 is: 9,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.10 : 15,743.85 = 7,160.27 : x
  2. Step 2: Convert to fraction form
    11,412.10/15,743.85 = 7,160.27/x
  3. Step 3: Cross multiply
    11,412.10x = 15,743.85 × 7,160.27
  4. Step 4: Simplify right side
    11,412.10x = 112,730,111.27
  5. Step 5: Solve for x
    x = 112,730,111.27/11,412.10
  6. Step 6: Final answer
    x = 9,878.12

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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.