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Finding the Fourth Proportional to 12,364.16, 18,545.43 and 5,791.82

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Solution

The fourth proportional to 12,364.16, 18,545.43 and 5,791.82 is: 8,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.16 : 18,545.43 = 5,791.82 : x
  2. Step 2: Convert to fraction form
    12,364.16/18,545.43 = 5,791.82/x
  3. Step 3: Cross multiply
    12,364.16x = 18,545.43 × 5,791.82
  4. Step 4: Simplify right side
    12,364.16x = 107,411,792.38
  5. Step 5: Solve for x
    x = 107,411,792.38/12,364.16
  6. Step 6: Final answer
    x = 8,687.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.