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Finding the Fourth Proportional to 7,139.58, 10,713.80 and 3,442.18

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Solution

The fourth proportional to 7,139.58, 10,713.80 and 3,442.18 is: 5,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.58 : 10,713.80 = 3,442.18 : x
  2. Step 2: Convert to fraction form
    7,139.58/10,713.80 = 3,442.18/x
  3. Step 3: Cross multiply
    7,139.58x = 10,713.80 × 3,442.18
  4. Step 4: Simplify right side
    7,139.58x = 36,878,828.08
  5. Step 5: Solve for x
    x = 36,878,828.08/7,139.58
  6. Step 6: Final answer
    x = 5,165.41

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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.