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Finding the Fourth Proportional to 10,278.95, 14,184.97 and 5,563.23

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Solution

The fourth proportional to 10,278.95, 14,184.97 and 5,563.23 is: 7,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.95 : 14,184.97 = 5,563.23 : x
  2. Step 2: Convert to fraction form
    10,278.95/14,184.97 = 5,563.23/x
  3. Step 3: Cross multiply
    10,278.95x = 14,184.97 × 5,563.23
  4. Step 4: Simplify right side
    10,278.95x = 78,914,294.64
  5. Step 5: Solve for x
    x = 78,914,294.64/10,278.95
  6. Step 6: Final answer
    x = 7,677.27

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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.