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Finding the Fourth Proportional to 6,517.77, 9,776.50 and 1,587.40

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Solution

The fourth proportional to 6,517.77, 9,776.50 and 1,587.40 is: 2,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.77 : 9,776.50 = 1,587.40 : x
  2. Step 2: Convert to fraction form
    6,517.77/9,776.50 = 1,587.40/x
  3. Step 3: Cross multiply
    6,517.77x = 9,776.50 × 1,587.40
  4. Step 4: Simplify right side
    6,517.77x = 15,519,187.69
  5. Step 5: Solve for x
    x = 15,519,187.69/6,517.77
  6. Step 6: Final answer
    x = 2,381.06

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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.