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Finding the Fourth Proportional to 7,102.59, 10,650.13 and 3,152.13

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Solution

The fourth proportional to 7,102.59, 10,650.13 and 3,152.13 is: 4,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.59 : 10,650.13 = 3,152.13 : x
  2. Step 2: Convert to fraction form
    7,102.59/10,650.13 = 3,152.13/x
  3. Step 3: Cross multiply
    7,102.59x = 10,650.13 × 3,152.13
  4. Step 4: Simplify right side
    7,102.59x = 33,570,566.43
  5. Step 5: Solve for x
    x = 33,570,566.43/7,102.59
  6. Step 6: Final answer
    x = 4,726.53

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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.