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Finding the Fourth Proportional to 6,363.14, 8,780.58 and 3,710.80

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Solution

The fourth proportional to 6,363.14, 8,780.58 and 3,710.80 is: 5,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.14 : 8,780.58 = 3,710.80 : x
  2. Step 2: Convert to fraction form
    6,363.14/8,780.58 = 3,710.80/x
  3. Step 3: Cross multiply
    6,363.14x = 8,780.58 × 3,710.80
  4. Step 4: Simplify right side
    6,363.14x = 32,582,976.26
  5. Step 5: Solve for x
    x = 32,582,976.26/6,363.14
  6. Step 6: Final answer
    x = 5,120.58

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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.