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Finding the Fourth Proportional to 10,216.95, 14,100.03 and 5,680.28

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Solution

The fourth proportional to 10,216.95, 14,100.03 and 5,680.28 is: 7,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.95 : 14,100.03 = 5,680.28 : x
  2. Step 2: Convert to fraction form
    10,216.95/14,100.03 = 5,680.28/x
  3. Step 3: Cross multiply
    10,216.95x = 14,100.03 × 5,680.28
  4. Step 4: Simplify right side
    10,216.95x = 80,092,047.91
  5. Step 5: Solve for x
    x = 80,092,047.91/10,216.95
  6. Step 6: Final answer
    x = 7,839.13

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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.