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Finding the Fourth Proportional to 11,475.90, 15,837.38 and 8,638.16

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Solution

The fourth proportional to 11,475.90, 15,837.38 and 8,638.16 is: 11,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.90 : 15,837.38 = 8,638.16 : x
  2. Step 2: Convert to fraction form
    11,475.90/15,837.38 = 8,638.16/x
  3. Step 3: Cross multiply
    11,475.90x = 15,837.38 × 8,638.16
  4. Step 4: Simplify right side
    11,475.90x = 136,805,822.42
  5. Step 5: Solve for x
    x = 136,805,822.42/11,475.90
  6. Step 6: Final answer
    x = 11,921.14

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Why These Related Problems?

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