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Finding the Fourth Proportional to 10,119.64, 13,964.80 and 5,643.12

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Solution

The fourth proportional to 10,119.64, 13,964.80 and 5,643.12 is: 7,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.64 : 13,964.80 = 5,643.12 : x
  2. Step 2: Convert to fraction form
    10,119.64/13,964.80 = 5,643.12/x
  3. Step 3: Cross multiply
    10,119.64x = 13,964.80 × 5,643.12
  4. Step 4: Simplify right side
    10,119.64x = 78,805,042.18
  5. Step 5: Solve for x
    x = 78,805,042.18/10,119.64
  6. Step 6: Final answer
    x = 7,787.34

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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.