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Finding the Fourth Proportional to 7,448.57, 10,279.15 and 4,091.70

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Solution

The fourth proportional to 7,448.57, 10,279.15 and 4,091.70 is: 5,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.57 : 10,279.15 = 4,091.70 : x
  2. Step 2: Convert to fraction form
    7,448.57/10,279.15 = 4,091.70/x
  3. Step 3: Cross multiply
    7,448.57x = 10,279.15 × 4,091.70
  4. Step 4: Simplify right side
    7,448.57x = 42,059,187.83
  5. Step 5: Solve for x
    x = 42,059,187.83/7,448.57
  6. Step 6: Final answer
    x = 5,646.61

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