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Finding the Fourth Proportional to 7,435.85, 10,252.50 and 6,425.75

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Solution

The fourth proportional to 7,435.85, 10,252.50 and 6,425.75 is: 8,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.85 : 10,252.50 = 6,425.75 : x
  2. Step 2: Convert to fraction form
    7,435.85/10,252.50 = 6,425.75/x
  3. Step 3: Cross multiply
    7,435.85x = 10,252.50 × 6,425.75
  4. Step 4: Simplify right side
    7,435.85x = 65,880,001.88
  5. Step 5: Solve for x
    x = 65,880,001.88/7,435.85
  6. Step 6: Final answer
    x = 8,859.78

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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.