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Finding the Fourth Proportional to 10,920.96, 15,072.16 and 6,206.04

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Solution

The fourth proportional to 10,920.96, 15,072.16 and 6,206.04 is: 8,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.96 : 15,072.16 = 6,206.04 : x
  2. Step 2: Convert to fraction form
    10,920.96/15,072.16 = 6,206.04/x
  3. Step 3: Cross multiply
    10,920.96x = 15,072.16 × 6,206.04
  4. Step 4: Simplify right side
    10,920.96x = 93,538,427.85
  5. Step 5: Solve for x
    x = 93,538,427.85/10,920.96
  6. Step 6: Final answer
    x = 8,565.04

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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.