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Finding the Fourth Proportional to 10,298.04, 15,447.11 and 2,902.57

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Solution

The fourth proportional to 10,298.04, 15,447.11 and 2,902.57 is: 4,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.04 : 15,447.11 = 2,902.57 : x
  2. Step 2: Convert to fraction form
    10,298.04/15,447.11 = 2,902.57/x
  3. Step 3: Cross multiply
    10,298.04x = 15,447.11 × 2,902.57
  4. Step 4: Simplify right side
    10,298.04x = 44,836,264.94
  5. Step 5: Solve for x
    x = 44,836,264.94/10,298.04
  6. Step 6: Final answer
    x = 4,353.87

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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.