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Finding the Fourth Proportional to 10,230.74, 15,346.40 and 3,990.50

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Solution

The fourth proportional to 10,230.74, 15,346.40 and 3,990.50 is: 5,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.74 : 15,346.40 = 3,990.50 : x
  2. Step 2: Convert to fraction form
    10,230.74/15,346.40 = 3,990.50/x
  3. Step 3: Cross multiply
    10,230.74x = 15,346.40 × 3,990.50
  4. Step 4: Simplify right side
    10,230.74x = 61,239,809.20
  5. Step 5: Solve for x
    x = 61,239,809.20/10,230.74
  6. Step 6: Final answer
    x = 5,985.86

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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.