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Finding the Fourth Proportional to 7,148.34, 10,726.92 and 3,450.93

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Solution

The fourth proportional to 7,148.34, 10,726.92 and 3,450.93 is: 5,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.34 : 10,726.92 = 3,450.93 : x
  2. Step 2: Convert to fraction form
    7,148.34/10,726.92 = 3,450.93/x
  3. Step 3: Cross multiply
    7,148.34x = 10,726.92 × 3,450.93
  4. Step 4: Simplify right side
    7,148.34x = 37,017,850.04
  5. Step 5: Solve for x
    x = 37,017,850.04/7,148.34
  6. Step 6: Final answer
    x = 5,178.52

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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.