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Finding the Fourth Proportional to 7,448.54, 10,279.10 and 4,091.49

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Solution

The fourth proportional to 7,448.54, 10,279.10 and 4,091.49 is: 5,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.54 : 10,279.10 = 4,091.49 : x
  2. Step 2: Convert to fraction form
    7,448.54/10,279.10 = 4,091.49/x
  3. Step 3: Cross multiply
    7,448.54x = 10,279.10 × 4,091.49
  4. Step 4: Simplify right side
    7,448.54x = 42,056,834.86
  5. Step 5: Solve for x
    x = 42,056,834.86/7,448.54
  6. Step 6: Final answer
    x = 5,646.32

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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.