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Finding the Fourth Proportional to 7,876.98, 11,817.14 and 6,587.46

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Solution

The fourth proportional to 7,876.98, 11,817.14 and 6,587.46 is: 9,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.98 : 11,817.14 = 6,587.46 : x
  2. Step 2: Convert to fraction form
    7,876.98/11,817.14 = 6,587.46/x
  3. Step 3: Cross multiply
    7,876.98x = 11,817.14 × 6,587.46
  4. Step 4: Simplify right side
    7,876.98x = 77,844,904.13
  5. Step 5: Solve for x
    x = 77,844,904.13/7,876.98
  6. Step 6: Final answer
    x = 9,882.58

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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.