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Finding the Fourth Proportional to 11,545.50, 15,930.52 and 6,830.09

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Solution

The fourth proportional to 11,545.50, 15,930.52 and 6,830.09 is: 9,424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.50 : 15,930.52 = 6,830.09 : x
  2. Step 2: Convert to fraction form
    11,545.50/15,930.52 = 6,830.09/x
  3. Step 3: Cross multiply
    11,545.50x = 15,930.52 × 6,830.09
  4. Step 4: Simplify right side
    11,545.50x = 108,806,886.78
  5. Step 5: Solve for x
    x = 108,806,886.78/11,545.50
  6. Step 6: Final answer
    x = 9,424.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.