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Finding the Fourth Proportional to 10,095.96, 13,932.28 and 5,619.70

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Solution

The fourth proportional to 10,095.96, 13,932.28 and 5,619.70 is: 7,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.96 : 13,932.28 = 5,619.70 : x
  2. Step 2: Convert to fraction form
    10,095.96/13,932.28 = 5,619.70/x
  3. Step 3: Cross multiply
    10,095.96x = 13,932.28 × 5,619.70
  4. Step 4: Simplify right side
    10,095.96x = 78,295,233.92
  5. Step 5: Solve for x
    x = 78,295,233.92/10,095.96
  6. Step 6: Final answer
    x = 7,755.11

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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.