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Finding the Fourth Proportional to 6,278.84, 8,657.68 and 4,007.13

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Solution

The fourth proportional to 6,278.84, 8,657.68 and 4,007.13 is: 5,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.84 : 8,657.68 = 4,007.13 : x
  2. Step 2: Convert to fraction form
    6,278.84/8,657.68 = 4,007.13/x
  3. Step 3: Cross multiply
    6,278.84x = 8,657.68 × 4,007.13
  4. Step 4: Simplify right side
    6,278.84x = 34,692,449.26
  5. Step 5: Solve for x
    x = 34,692,449.26/6,278.84
  6. Step 6: Final answer
    x = 5,525.30

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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.