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Finding the Fourth Proportional to 7,566.26, 11,347.14 and 2,301.66

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Solution

The fourth proportional to 7,566.26, 11,347.14 and 2,301.66 is: 3,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.26 : 11,347.14 = 2,301.66 : x
  2. Step 2: Convert to fraction form
    7,566.26/11,347.14 = 2,301.66/x
  3. Step 3: Cross multiply
    7,566.26x = 11,347.14 × 2,301.66
  4. Step 4: Simplify right side
    7,566.26x = 26,117,258.25
  5. Step 5: Solve for x
    x = 26,117,258.25/7,566.26
  6. Step 6: Final answer
    x = 3,451.81

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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.