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Finding the Fourth Proportional to 10,100.66, 15,130.33 and 8,233.20

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Solution

The fourth proportional to 10,100.66, 15,130.33 and 8,233.20 is: 12,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.66 : 15,130.33 = 8,233.20 : x
  2. Step 2: Convert to fraction form
    10,100.66/15,130.33 = 8,233.20/x
  3. Step 3: Cross multiply
    10,100.66x = 15,130.33 × 8,233.20
  4. Step 4: Simplify right side
    10,100.66x = 124,571,110.28
  5. Step 5: Solve for x
    x = 124,571,110.28/10,100.66
  6. Step 6: Final answer
    x = 12,332.97

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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.