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Finding the Fourth Proportional to 7,498.75, 10,348.28 and 4,186.75

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Solution

The fourth proportional to 7,498.75, 10,348.28 and 4,186.75 is: 5,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.75 : 10,348.28 = 4,186.75 : x
  2. Step 2: Convert to fraction form
    7,498.75/10,348.28 = 4,186.75/x
  3. Step 3: Cross multiply
    7,498.75x = 10,348.28 × 4,186.75
  4. Step 4: Simplify right side
    7,498.75x = 43,325,661.29
  5. Step 5: Solve for x
    x = 43,325,661.29/7,498.75
  6. Step 6: Final answer
    x = 5,777.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.