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Finding the Fourth Proportional to 11,521.80, 15,900.38 and 6,486.20

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Solution

The fourth proportional to 11,521.80, 15,900.38 and 6,486.20 is: 8,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.80 : 15,900.38 = 6,486.20 : x
  2. Step 2: Convert to fraction form
    11,521.80/15,900.38 = 6,486.20/x
  3. Step 3: Cross multiply
    11,521.80x = 15,900.38 × 6,486.20
  4. Step 4: Simplify right side
    11,521.80x = 103,133,044.76
  5. Step 5: Solve for x
    x = 103,133,044.76/11,521.80
  6. Step 6: Final answer
    x = 8,951.12

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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.