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Finding the Fourth Proportional to 10,655.52, 15,984.09 and 5,465.04

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Solution

The fourth proportional to 10,655.52, 15,984.09 and 5,465.04 is: 8,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.52 : 15,984.09 = 5,465.04 : x
  2. Step 2: Convert to fraction form
    10,655.52/15,984.09 = 5,465.04/x
  3. Step 3: Cross multiply
    10,655.52x = 15,984.09 × 5,465.04
  4. Step 4: Simplify right side
    10,655.52x = 87,353,691.21
  5. Step 5: Solve for x
    x = 87,353,691.21/10,655.52
  6. Step 6: Final answer
    x = 8,197.98

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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.