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Finding the Fourth Proportional to 11,957.76, 16,502.40 and 6,652.53

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Solution

The fourth proportional to 11,957.76, 16,502.40 and 6,652.53 is: 9,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.76 : 16,502.40 = 6,652.53 : x
  2. Step 2: Convert to fraction form
    11,957.76/16,502.40 = 6,652.53/x
  3. Step 3: Cross multiply
    11,957.76x = 16,502.40 × 6,652.53
  4. Step 4: Simplify right side
    11,957.76x = 109,782,711.07
  5. Step 5: Solve for x
    x = 109,782,711.07/11,957.76
  6. Step 6: Final answer
    x = 9,180.88

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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.