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Finding the Fourth Proportional to 7,498.75, 11,248.67 and 2,881.75

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Solution

The fourth proportional to 7,498.75, 11,248.67 and 2,881.75 is: 4,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.75 : 11,248.67 = 2,881.75 : x
  2. Step 2: Convert to fraction form
    7,498.75/11,248.67 = 2,881.75/x
  3. Step 3: Cross multiply
    7,498.75x = 11,248.67 × 2,881.75
  4. Step 4: Simplify right side
    7,498.75x = 32,415,854.77
  5. Step 5: Solve for x
    x = 32,415,854.77/7,498.75
  6. Step 6: Final answer
    x = 4,322.83

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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.