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Finding the Fourth Proportional to 7,641.17, 11,462.82 and 3,482.23

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Solution

The fourth proportional to 7,641.17, 11,462.82 and 3,482.23 is: 5,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.17 : 11,462.82 = 3,482.23 : x
  2. Step 2: Convert to fraction form
    7,641.17/11,462.82 = 3,482.23/x
  3. Step 3: Cross multiply
    7,641.17x = 11,462.82 × 3,482.23
  4. Step 4: Simplify right side
    7,641.17x = 39,916,160.09
  5. Step 5: Solve for x
    x = 39,916,160.09/7,641.17
  6. Step 6: Final answer
    x = 5,223.83

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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.