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Finding the Fourth Proportional to 6,935.85, 10,392.66 and 4,952.16

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Solution

The fourth proportional to 6,935.85, 10,392.66 and 4,952.16 is: 7,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.85 : 10,392.66 = 4,952.16 : x
  2. Step 2: Convert to fraction form
    6,935.85/10,392.66 = 4,952.16/x
  3. Step 3: Cross multiply
    6,935.85x = 10,392.66 × 4,952.16
  4. Step 4: Simplify right side
    6,935.85x = 51,466,115.15
  5. Step 5: Solve for x
    x = 51,466,115.15/6,935.85
  6. Step 6: Final answer
    x = 7,420.30

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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.