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Finding the Fourth Proportional to 10,646.10, 15,969.87 and 3,251.22

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Solution

The fourth proportional to 10,646.10, 15,969.87 and 3,251.22 is: 4,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.10 : 15,969.87 = 3,251.22 : x
  2. Step 2: Convert to fraction form
    10,646.10/15,969.87 = 3,251.22/x
  3. Step 3: Cross multiply
    10,646.10x = 15,969.87 × 3,251.22
  4. Step 4: Simplify right side
    10,646.10x = 51,921,560.74
  5. Step 5: Solve for x
    x = 51,921,560.74/10,646.10
  6. Step 6: Final answer
    x = 4,877.05

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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.