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Finding the Fourth Proportional to 7,559.26, 11,336.84 and 4,781.76

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Solution

The fourth proportional to 7,559.26, 11,336.84 and 4,781.76 is: 7,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.26 : 11,336.84 = 4,781.76 : x
  2. Step 2: Convert to fraction form
    7,559.26/11,336.84 = 4,781.76/x
  3. Step 3: Cross multiply
    7,559.26x = 11,336.84 × 4,781.76
  4. Step 4: Simplify right side
    7,559.26x = 54,210,048.04
  5. Step 5: Solve for x
    x = 54,210,048.04/7,559.26
  6. Step 6: Final answer
    x = 7,171.34

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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.