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Finding the Fourth Proportional to 10,235.42, 15,352.95 and 2,839.04

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Solution

The fourth proportional to 10,235.42, 15,352.95 and 2,839.04 is: 4,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.42 : 15,352.95 = 2,839.04 : x
  2. Step 2: Convert to fraction form
    10,235.42/15,352.95 = 2,839.04/x
  3. Step 3: Cross multiply
    10,235.42x = 15,352.95 × 2,839.04
  4. Step 4: Simplify right side
    10,235.42x = 43,587,639.17
  5. Step 5: Solve for x
    x = 43,587,639.17/10,235.42
  6. Step 6: Final answer
    x = 4,258.51

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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.