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Finding the Fourth Proportional to 7,259.50, 10,017.57 and 4,115.62

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Solution

The fourth proportional to 7,259.50, 10,017.57 and 4,115.62 is: 5,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.50 : 10,017.57 = 4,115.62 : x
  2. Step 2: Convert to fraction form
    7,259.50/10,017.57 = 4,115.62/x
  3. Step 3: Cross multiply
    7,259.50x = 10,017.57 × 4,115.62
  4. Step 4: Simplify right side
    7,259.50x = 41,228,511.44
  5. Step 5: Solve for x
    x = 41,228,511.44/7,259.50
  6. Step 6: Final answer
    x = 5,679.25

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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.