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Finding the Fourth Proportional to 10,119.65, 13,965.19 and 5,643.69

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Solution

The fourth proportional to 10,119.65, 13,965.19 and 5,643.69 is: 7,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.65 : 13,965.19 = 5,643.69 : x
  2. Step 2: Convert to fraction form
    10,119.65/13,965.19 = 5,643.69/x
  3. Step 3: Cross multiply
    10,119.65x = 13,965.19 × 5,643.69
  4. Step 4: Simplify right side
    10,119.65x = 78,815,246.97
  5. Step 5: Solve for x
    x = 78,815,246.97/10,119.65
  6. Step 6: Final answer
    x = 7,788.34

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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.