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Finding the Fourth Proportional to 10,150.34, 15,230.06 and 6,451.61

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Solution

The fourth proportional to 10,150.34, 15,230.06 and 6,451.61 is: 9,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.34 : 15,230.06 = 6,451.61 : x
  2. Step 2: Convert to fraction form
    10,150.34/15,230.06 = 6,451.61/x
  3. Step 3: Cross multiply
    10,150.34x = 15,230.06 × 6,451.61
  4. Step 4: Simplify right side
    10,150.34x = 98,258,461.60
  5. Step 5: Solve for x
    x = 98,258,461.60/10,150.34
  6. Step 6: Final answer
    x = 9,680.31

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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.