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Finding the Fourth Proportional to 10,365.80, 15,536.55 and 5,432.90

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Solution

The fourth proportional to 10,365.80, 15,536.55 and 5,432.90 is: 8,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.80 : 15,536.55 = 5,432.90 : x
  2. Step 2: Convert to fraction form
    10,365.80/15,536.55 = 5,432.90/x
  3. Step 3: Cross multiply
    10,365.80x = 15,536.55 × 5,432.90
  4. Step 4: Simplify right side
    10,365.80x = 84,408,522.50
  5. Step 5: Solve for x
    x = 84,408,522.50/10,365.80
  6. Step 6: Final answer
    x = 8,142.98

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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.