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Finding the Fourth Proportional to 6,348.24, 8,752.18 and 5,209.76

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Solution

The fourth proportional to 6,348.24, 8,752.18 and 5,209.76 is: 7,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.24 : 8,752.18 = 5,209.76 : x
  2. Step 2: Convert to fraction form
    6,348.24/8,752.18 = 5,209.76/x
  3. Step 3: Cross multiply
    6,348.24x = 8,752.18 × 5,209.76
  4. Step 4: Simplify right side
    6,348.24x = 45,596,757.28
  5. Step 5: Solve for x
    x = 45,596,757.28/6,348.24
  6. Step 6: Final answer
    x = 7,182.58

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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.