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Finding the Fourth Proportional to 10,639.50, 15,959.25 and 2,848.14

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Solution

The fourth proportional to 10,639.50, 15,959.25 and 2,848.14 is: 4,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.50 : 15,959.25 = 2,848.14 : x
  2. Step 2: Convert to fraction form
    10,639.50/15,959.25 = 2,848.14/x
  3. Step 3: Cross multiply
    10,639.50x = 15,959.25 × 2,848.14
  4. Step 4: Simplify right side
    10,639.50x = 45,454,178.30
  5. Step 5: Solve for x
    x = 45,454,178.30/10,639.50
  6. Step 6: Final answer
    x = 4,272.21

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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.