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Finding the Fourth Proportional to 10,095.77, 13,932.18 and 5,619.30

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Solution

The fourth proportional to 10,095.77, 13,932.18 and 5,619.30 is: 7,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.77 : 13,932.18 = 5,619.30 : x
  2. Step 2: Convert to fraction form
    10,095.77/13,932.18 = 5,619.30/x
  3. Step 3: Cross multiply
    10,095.77x = 13,932.18 × 5,619.30
  4. Step 4: Simplify right side
    10,095.77x = 78,289,099.07
  5. Step 5: Solve for x
    x = 78,289,099.07/10,095.77
  6. Step 6: Final answer
    x = 7,754.65

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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.