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Finding the Fourth Proportional to 10,971.20, 15,141.92 and 6,993.92

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Solution

The fourth proportional to 10,971.20, 15,141.92 and 6,993.92 is: 9,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.20 : 15,141.92 = 6,993.92 : x
  2. Step 2: Convert to fraction form
    10,971.20/15,141.92 = 6,993.92/x
  3. Step 3: Cross multiply
    10,971.20x = 15,141.92 × 6,993.92
  4. Step 4: Simplify right side
    10,971.20x = 105,901,377.13
  5. Step 5: Solve for x
    x = 105,901,377.13/10,971.20
  6. Step 6: Final answer
    x = 9,652.67

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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.