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Finding the Fourth Proportional to 10,536.50, 15,800.18 and 5,269.47

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Solution

The fourth proportional to 10,536.50, 15,800.18 and 5,269.47 is: 7,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.50 : 15,800.18 = 5,269.47 : x
  2. Step 2: Convert to fraction form
    10,536.50/15,800.18 = 5,269.47/x
  3. Step 3: Cross multiply
    10,536.50x = 15,800.18 × 5,269.47
  4. Step 4: Simplify right side
    10,536.50x = 83,258,548.16
  5. Step 5: Solve for x
    x = 83,258,548.16/10,536.50
  6. Step 6: Final answer
    x = 7,901.92

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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.