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Finding the Fourth Proportional to 11,158.90, 15,386.52 and 8,919.26

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Solution

The fourth proportional to 11,158.90, 15,386.52 and 8,919.26 is: 12,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.90 : 15,386.52 = 8,919.26 : x
  2. Step 2: Convert to fraction form
    11,158.90/15,386.52 = 8,919.26/x
  3. Step 3: Cross multiply
    11,158.90x = 15,386.52 × 8,919.26
  4. Step 4: Simplify right side
    11,158.90x = 137,236,372.38
  5. Step 5: Solve for x
    x = 137,236,372.38/11,158.90
  6. Step 6: Final answer
    x = 12,298.38

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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.