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Finding the Fourth Proportional to 11,580.80, 15,982.05 and 6,545.23

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Solution

The fourth proportional to 11,580.80, 15,982.05 and 6,545.23 is: 9,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.80 : 15,982.05 = 6,545.23 : x
  2. Step 2: Convert to fraction form
    11,580.80/15,982.05 = 6,545.23/x
  3. Step 3: Cross multiply
    11,580.80x = 15,982.05 × 6,545.23
  4. Step 4: Simplify right side
    11,580.80x = 104,606,193.12
  5. Step 5: Solve for x
    x = 104,606,193.12/11,580.80
  6. Step 6: Final answer
    x = 9,032.73

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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.