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Finding the Fourth Proportional to 7,498.50, 10,352.17 and 6,667.98

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Solution

The fourth proportional to 7,498.50, 10,352.17 and 6,667.98 is: 9,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.50 : 10,352.17 = 6,667.98 : x
  2. Step 2: Convert to fraction form
    7,498.50/10,352.17 = 6,667.98/x
  3. Step 3: Cross multiply
    7,498.50x = 10,352.17 × 6,667.98
  4. Step 4: Simplify right side
    7,498.50x = 69,028,062.52
  5. Step 5: Solve for x
    x = 69,028,062.52/7,498.50
  6. Step 6: Final answer
    x = 9,205.58

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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.