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Finding the Fourth Proportional to 10,544.31, 15,808.10 and 5,865.93

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Solution

The fourth proportional to 10,544.31, 15,808.10 and 5,865.93 is: 8,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.31 : 15,808.10 = 5,865.93 : x
  2. Step 2: Convert to fraction form
    10,544.31/15,808.10 = 5,865.93/x
  3. Step 3: Cross multiply
    10,544.31x = 15,808.10 × 5,865.93
  4. Step 4: Simplify right side
    10,544.31x = 92,729,178.70
  5. Step 5: Solve for x
    x = 92,729,178.70/10,544.31
  6. Step 6: Final answer
    x = 8,794.24

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Why These Related Problems?

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