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Finding the Fourth Proportional to 11,259.90, 15,545.28 and 7,728.30

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Solution

The fourth proportional to 11,259.90, 15,545.28 and 7,728.30 is: 10,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.90 : 15,545.28 = 7,728.30 : x
  2. Step 2: Convert to fraction form
    11,259.90/15,545.28 = 7,728.30/x
  3. Step 3: Cross multiply
    11,259.90x = 15,545.28 × 7,728.30
  4. Step 4: Simplify right side
    11,259.90x = 120,138,587.42
  5. Step 5: Solve for x
    x = 120,138,587.42/11,259.90
  6. Step 6: Final answer
    x = 10,669.60

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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.