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Finding the Fourth Proportional to 7,506.48, 11,262.12 and 3,608.76

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Solution

The fourth proportional to 7,506.48, 11,262.12 and 3,608.76 is: 5,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.48 : 11,262.12 = 3,608.76 : x
  2. Step 2: Convert to fraction form
    7,506.48/11,262.12 = 3,608.76/x
  3. Step 3: Cross multiply
    7,506.48x = 11,262.12 × 3,608.76
  4. Step 4: Simplify right side
    7,506.48x = 40,642,288.17
  5. Step 5: Solve for x
    x = 40,642,288.17/7,506.48
  6. Step 6: Final answer
    x = 5,414.29

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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.