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Finding the Fourth Proportional to 6,870.78, 10,298.31 and 2,708.50

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Solution

The fourth proportional to 6,870.78, 10,298.31 and 2,708.50 is: 4,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.78 : 10,298.31 = 2,708.50 : x
  2. Step 2: Convert to fraction form
    6,870.78/10,298.31 = 2,708.50/x
  3. Step 3: Cross multiply
    6,870.78x = 10,298.31 × 2,708.50
  4. Step 4: Simplify right side
    6,870.78x = 27,892,972.64
  5. Step 5: Solve for x
    x = 27,892,972.64/6,870.78
  6. Step 6: Final answer
    x = 4,059.65

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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.