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Finding the Fourth Proportional to 7,342.71, 11,014.40 and 2,078.11

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Solution

The fourth proportional to 7,342.71, 11,014.40 and 2,078.11 is: 3,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.71 : 11,014.40 = 2,078.11 : x
  2. Step 2: Convert to fraction form
    7,342.71/11,014.40 = 2,078.11/x
  3. Step 3: Cross multiply
    7,342.71x = 11,014.40 × 2,078.11
  4. Step 4: Simplify right side
    7,342.71x = 22,889,134.78
  5. Step 5: Solve for x
    x = 22,889,134.78/7,342.71
  6. Step 6: Final answer
    x = 3,117.26

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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.