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Finding the Fourth Proportional to 8,305.40, 11,461.02 and 5,161.52

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Solution

The fourth proportional to 8,305.40, 11,461.02 and 5,161.52 is: 7,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.40 : 11,461.02 = 5,161.52 : x
  2. Step 2: Convert to fraction form
    8,305.40/11,461.02 = 5,161.52/x
  3. Step 3: Cross multiply
    8,305.40x = 11,461.02 × 5,161.52
  4. Step 4: Simplify right side
    8,305.40x = 59,156,283.95
  5. Step 5: Solve for x
    x = 59,156,283.95/8,305.40
  6. Step 6: Final answer
    x = 7,122.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.