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Finding the Fourth Proportional to 10,095.77, 13,930.53 and 5,619.41

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Solution

The fourth proportional to 10,095.77, 13,930.53 and 5,619.41 is: 7,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.77 : 13,930.53 = 5,619.41 : x
  2. Step 2: Convert to fraction form
    10,095.77/13,930.53 = 5,619.41/x
  3. Step 3: Cross multiply
    10,095.77x = 13,930.53 × 5,619.41
  4. Step 4: Simplify right side
    10,095.77x = 78,281,289.93
  5. Step 5: Solve for x
    x = 78,281,289.93/10,095.77
  6. Step 6: Final answer
    x = 7,753.87

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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.