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Finding the Fourth Proportional to 10,534, 15,801.12 and 3,609.04

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Solution

The fourth proportional to 10,534, 15,801.12 and 3,609.04 is: 5,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 15,801.12 = 3,609.04 : x
  2. Step 2: Convert to fraction form
    10,534/15,801.12 = 3,609.04/x
  3. Step 3: Cross multiply
    10,534x = 15,801.12 × 3,609.04
  4. Step 4: Simplify right side
    10,534x = 57,026,874.12
  5. Step 5: Solve for x
    x = 57,026,874.12/10,534
  6. Step 6: Final answer
    x = 5,413.60

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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.