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Finding the Fourth Proportional to 6,517.65, 9,776.38 and 1,587.30

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Solution

The fourth proportional to 6,517.65, 9,776.38 and 1,587.30 is: 2,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.65 : 9,776.38 = 1,587.30 : x
  2. Step 2: Convert to fraction form
    6,517.65/9,776.38 = 1,587.30/x
  3. Step 3: Cross multiply
    6,517.65x = 9,776.38 × 1,587.30
  4. Step 4: Simplify right side
    6,517.65x = 15,518,047.97
  5. Step 5: Solve for x
    x = 15,518,047.97/6,517.65
  6. Step 6: Final answer
    x = 2,380.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.