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Finding the Fourth Proportional to 10,546.95, 15,849.16 and 5,620.11

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Solution

The fourth proportional to 10,546.95, 15,849.16 and 5,620.11 is: 8,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.95 : 15,849.16 = 5,620.11 : x
  2. Step 2: Convert to fraction form
    10,546.95/15,849.16 = 5,620.11/x
  3. Step 3: Cross multiply
    10,546.95x = 15,849.16 × 5,620.11
  4. Step 4: Simplify right side
    10,546.95x = 89,073,929.31
  5. Step 5: Solve for x
    x = 89,073,929.31/10,546.95
  6. Step 6: Final answer
    x = 8,445.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.