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Finding the Fourth Proportional to 7,876.89, 10,871.31 and 5,985.39

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Solution

The fourth proportional to 7,876.89, 10,871.31 and 5,985.39 is: 8,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.89 : 10,871.31 = 5,985.39 : x
  2. Step 2: Convert to fraction form
    7,876.89/10,871.31 = 5,985.39/x
  3. Step 3: Cross multiply
    7,876.89x = 10,871.31 × 5,985.39
  4. Step 4: Simplify right side
    7,876.89x = 65,069,030.16
  5. Step 5: Solve for x
    x = 65,069,030.16/7,876.89
  6. Step 6: Final answer
    x = 8,260.75

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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.