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Finding the Fourth Proportional to 7,539.64, 11,306.76 and 2,608

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Solution

The fourth proportional to 7,539.64, 11,306.76 and 2,608 is: 3,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.64 : 11,306.76 = 2,608 : x
  2. Step 2: Convert to fraction form
    7,539.64/11,306.76 = 2,608/x
  3. Step 3: Cross multiply
    7,539.64x = 11,306.76 × 2,608
  4. Step 4: Simplify right side
    7,539.64x = 29,488,030.08
  5. Step 5: Solve for x
    x = 29,488,030.08/7,539.64
  6. Step 6: Final answer
    x = 3,911.07

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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.