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Finding the Fourth Proportional to 7,129.50, 10,698.71 and 3,432.12

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Solution

The fourth proportional to 7,129.50, 10,698.71 and 3,432.12 is: 5,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.50 : 10,698.71 = 3,432.12 : x
  2. Step 2: Convert to fraction form
    7,129.50/10,698.71 = 3,432.12/x
  3. Step 3: Cross multiply
    7,129.50x = 10,698.71 × 3,432.12
  4. Step 4: Simplify right side
    7,129.50x = 36,719,239.40
  5. Step 5: Solve for x
    x = 36,719,239.40/7,129.50
  6. Step 6: Final answer
    x = 5,150.32

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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.