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Finding the Fourth Proportional to 7,146.95, 10,726.96 and 3,639.38

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Solution

The fourth proportional to 7,146.95, 10,726.96 and 3,639.38 is: 5,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.95 : 10,726.96 = 3,639.38 : x
  2. Step 2: Convert to fraction form
    7,146.95/10,726.96 = 3,639.38/x
  3. Step 3: Cross multiply
    7,146.95x = 10,726.96 × 3,639.38
  4. Step 4: Simplify right side
    7,146.95x = 39,039,411.85
  5. Step 5: Solve for x
    x = 39,039,411.85/7,146.95
  6. Step 6: Final answer
    x = 5,462.39

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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.