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Finding the Fourth Proportional to 7,246.67, 9,993.98 and 4,892.00

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Solution

The fourth proportional to 7,246.67, 9,993.98 and 4,892.00 is: 6,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.67 : 9,993.98 = 4,892.00 : x
  2. Step 2: Convert to fraction form
    7,246.67/9,993.98 = 4,892.00/x
  3. Step 3: Cross multiply
    7,246.67x = 9,993.98 × 4,892.00
  4. Step 4: Simplify right side
    7,246.67x = 48,890,512.42
  5. Step 5: Solve for x
    x = 48,890,512.42/7,246.67
  6. Step 6: Final answer
    x = 6,746.62

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Why These Related Problems?

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