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Finding the Fourth Proportional to 10,116.84, 13,959.99 and 5,640.30

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Solution

The fourth proportional to 10,116.84, 13,959.99 and 5,640.30 is: 7,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.84 : 13,959.99 = 5,640.30 : x
  2. Step 2: Convert to fraction form
    10,116.84/13,959.99 = 5,640.30/x
  3. Step 3: Cross multiply
    10,116.84x = 13,959.99 × 5,640.30
  4. Step 4: Simplify right side
    10,116.84x = 78,738,531.60
  5. Step 5: Solve for x
    x = 78,738,531.60/10,116.84
  6. Step 6: Final answer
    x = 7,782.92

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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.