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Finding the Fourth Proportional to 7,639.86, 10,549.44 and 5,748.18

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Solution

The fourth proportional to 7,639.86, 10,549.44 and 5,748.18 is: 7,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.86 : 10,549.44 = 5,748.18 : x
  2. Step 2: Convert to fraction form
    7,639.86/10,549.44 = 5,748.18/x
  3. Step 3: Cross multiply
    7,639.86x = 10,549.44 × 5,748.18
  4. Step 4: Simplify right side
    7,639.86x = 60,640,080.02
  5. Step 5: Solve for x
    x = 60,640,080.02/7,639.86
  6. Step 6: Final answer
    x = 7,937.33

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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.