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Finding the Fourth Proportional to 10,283.03, 15,422.14 and 2,888.20

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Solution

The fourth proportional to 10,283.03, 15,422.14 and 2,888.20 is: 4,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.03 : 15,422.14 = 2,888.20 : x
  2. Step 2: Convert to fraction form
    10,283.03/15,422.14 = 2,888.20/x
  3. Step 3: Cross multiply
    10,283.03x = 15,422.14 × 2,888.20
  4. Step 4: Simplify right side
    10,283.03x = 44,542,224.75
  5. Step 5: Solve for x
    x = 44,542,224.75/10,283.03
  6. Step 6: Final answer
    x = 4,331.62

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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.