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Finding the Fourth Proportional to 10,257.30, 15,388.20 and 4,017.30

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Solution

The fourth proportional to 10,257.30, 15,388.20 and 4,017.30 is: 6,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.30 : 15,388.20 = 4,017.30 : x
  2. Step 2: Convert to fraction form
    10,257.30/15,388.20 = 4,017.30/x
  3. Step 3: Cross multiply
    10,257.30x = 15,388.20 × 4,017.30
  4. Step 4: Simplify right side
    10,257.30x = 61,819,015.86
  5. Step 5: Solve for x
    x = 61,819,015.86/10,257.30
  6. Step 6: Final answer
    x = 6,026.83

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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.