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Finding the Fourth Proportional to 10,012.87, 15,023.69 and 4,751.68

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Solution

The fourth proportional to 10,012.87, 15,023.69 and 4,751.68 is: 7,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.87 : 15,023.69 = 4,751.68 : x
  2. Step 2: Convert to fraction form
    10,012.87/15,023.69 = 4,751.68/x
  3. Step 3: Cross multiply
    10,012.87x = 15,023.69 × 4,751.68
  4. Step 4: Simplify right side
    10,012.87x = 71,387,741.62
  5. Step 5: Solve for x
    x = 71,387,741.62/10,012.87
  6. Step 6: Final answer
    x = 7,129.60

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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.