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Finding the Fourth Proportional to 10,059, 13,881.42 and 5,643

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Solution

The fourth proportional to 10,059, 13,881.42 and 5,643 is: 7,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059 : 13,881.42 = 5,643 : x
  2. Step 2: Convert to fraction form
    10,059/13,881.42 = 5,643/x
  3. Step 3: Cross multiply
    10,059x = 13,881.42 × 5,643
  4. Step 4: Simplify right side
    10,059x = 78,332,853.06
  5. Step 5: Solve for x
    x = 78,332,853.06/10,059
  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.