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Finding the Fourth Proportional to 10,656.12, 15,984.16 and 3,729

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Solution

The fourth proportional to 10,656.12, 15,984.16 and 3,729 is: 5,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.12 : 15,984.16 = 3,729 : x
  2. Step 2: Convert to fraction form
    10,656.12/15,984.16 = 3,729/x
  3. Step 3: Cross multiply
    10,656.12x = 15,984.16 × 3,729
  4. Step 4: Simplify right side
    10,656.12x = 59,604,932.64
  5. Step 5: Solve for x
    x = 59,604,932.64/10,656.12
  6. Step 6: Final answer
    x = 5,593.49

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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.