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Finding the Fourth Proportional to 7,267.60, 10,023.60 and 6,151.60

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Solution

The fourth proportional to 7,267.60, 10,023.60 and 6,151.60 is: 8,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.60 : 10,023.60 = 6,151.60 : x
  2. Step 2: Convert to fraction form
    7,267.60/10,023.60 = 6,151.60/x
  3. Step 3: Cross multiply
    7,267.60x = 10,023.60 × 6,151.60
  4. Step 4: Simplify right side
    7,267.60x = 61,661,177.76
  5. Step 5: Solve for x
    x = 61,661,177.76/7,267.60
  6. Step 6: Final answer
    x = 8,484.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.