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Finding the Fourth Proportional to 10,655.88, 15,983.28 and 3,729.84

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Solution

The fourth proportional to 10,655.88, 15,983.28 and 3,729.84 is: 5,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.88 : 15,983.28 = 3,729.84 : x
  2. Step 2: Convert to fraction form
    10,655.88/15,983.28 = 3,729.84/x
  3. Step 3: Cross multiply
    10,655.88x = 15,983.28 × 3,729.84
  4. Step 4: Simplify right side
    10,655.88x = 59,615,077.08
  5. Step 5: Solve for x
    x = 59,615,077.08/10,655.88
  6. Step 6: Final answer
    x = 5,594.57

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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.