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Finding the Fourth Proportional to 10,320.84, 15,481.80 and 7,859.52

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Solution

The fourth proportional to 10,320.84, 15,481.80 and 7,859.52 is: 11,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.84 : 15,481.80 = 7,859.52 : x
  2. Step 2: Convert to fraction form
    10,320.84/15,481.80 = 7,859.52/x
  3. Step 3: Cross multiply
    10,320.84x = 15,481.80 × 7,859.52
  4. Step 4: Simplify right side
    10,320.84x = 121,679,516.74
  5. Step 5: Solve for x
    x = 121,679,516.74/10,320.84
  6. Step 6: Final answer
    x = 11,789.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.