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Finding the Fourth Proportional to 10,243.98, 15,348.69 and 7,466.76

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Solution

The fourth proportional to 10,243.98, 15,348.69 and 7,466.76 is: 11,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.98 : 15,348.69 = 7,466.76 : x
  2. Step 2: Convert to fraction form
    10,243.98/15,348.69 = 7,466.76/x
  3. Step 3: Cross multiply
    10,243.98x = 15,348.69 × 7,466.76
  4. Step 4: Simplify right side
    10,243.98x = 114,604,984.54
  5. Step 5: Solve for x
    x = 114,604,984.54/10,243.98
  6. Step 6: Final answer
    x = 11,187.54

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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.