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Finding the Fourth Proportional to 10,607.68, 15,909.32 and 4,031.56

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Solution

The fourth proportional to 10,607.68, 15,909.32 and 4,031.56 is: 6,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.68 : 15,909.32 = 4,031.56 : x
  2. Step 2: Convert to fraction form
    10,607.68/15,909.32 = 4,031.56/x
  3. Step 3: Cross multiply
    10,607.68x = 15,909.32 × 4,031.56
  4. Step 4: Simplify right side
    10,607.68x = 64,139,378.14
  5. Step 5: Solve for x
    x = 64,139,378.14/10,607.68
  6. Step 6: Final answer
    x = 6,046.50

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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.