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Finding the Fourth Proportional to 10,119.72, 13,963.98 and 5,643.72

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Solution

The fourth proportional to 10,119.72, 13,963.98 and 5,643.72 is: 7,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.72 : 13,963.98 = 5,643.72 : x
  2. Step 2: Convert to fraction form
    10,119.72/13,963.98 = 5,643.72/x
  3. Step 3: Cross multiply
    10,119.72x = 13,963.98 × 5,643.72
  4. Step 4: Simplify right side
    10,119.72x = 78,808,793.21
  5. Step 5: Solve for x
    x = 78,808,793.21/10,119.72
  6. Step 6: Final answer
    x = 7,787.65

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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.