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Finding the Fourth Proportional to 11,528.53, 15,909.46 and 6,492.28

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Solution

The fourth proportional to 11,528.53, 15,909.46 and 6,492.28 is: 8,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,528.53 : 15,909.46 = 6,492.28 : x
  2. Step 2: Convert to fraction form
    11,528.53/15,909.46 = 6,492.28/x
  3. Step 3: Cross multiply
    11,528.53x = 15,909.46 × 6,492.28
  4. Step 4: Simplify right side
    11,528.53x = 103,288,593.48
  5. Step 5: Solve for x
    x = 103,288,593.48/11,528.53
  6. Step 6: Final answer
    x = 8,959.39

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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.