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Finding the Fourth Proportional to 10,230.46, 15,347.94 and 6,074.26

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Solution

The fourth proportional to 10,230.46, 15,347.94 and 6,074.26 is: 9,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.46 : 15,347.94 = 6,074.26 : x
  2. Step 2: Convert to fraction form
    10,230.46/15,347.94 = 6,074.26/x
  3. Step 3: Cross multiply
    10,230.46x = 15,347.94 × 6,074.26
  4. Step 4: Simplify right side
    10,230.46x = 93,227,378.02
  5. Step 5: Solve for x
    x = 93,227,378.02/10,230.46
  6. Step 6: Final answer
    x = 9,112.73

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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.