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Finding the Fourth Proportional to 10,920.15, 15,069.24 and 6,204.33

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Solution

The fourth proportional to 10,920.15, 15,069.24 and 6,204.33 is: 8,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.15 : 15,069.24 = 6,204.33 : x
  2. Step 2: Convert to fraction form
    10,920.15/15,069.24 = 6,204.33/x
  3. Step 3: Cross multiply
    10,920.15x = 15,069.24 × 6,204.33
  4. Step 4: Simplify right side
    10,920.15x = 93,494,537.81
  5. Step 5: Solve for x
    x = 93,494,537.81/10,920.15
  6. Step 6: Final answer
    x = 8,561.65

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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.