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Finding the Fourth Proportional to 11,545.34, 17,315.51 and 3,648.47

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Solution

The fourth proportional to 11,545.34, 17,315.51 and 3,648.47 is: 5,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.34 : 17,315.51 = 3,648.47 : x
  2. Step 2: Convert to fraction form
    11,545.34/17,315.51 = 3,648.47/x
  3. Step 3: Cross multiply
    11,545.34x = 17,315.51 × 3,648.47
  4. Step 4: Simplify right side
    11,545.34x = 63,175,013.95
  5. Step 5: Solve for x
    x = 63,175,013.95/11,545.34
  6. Step 6: Final answer
    x = 5,471.91

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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.