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Finding the Fourth Proportional to 8,246.92, 11,381.04 and 4,710.07

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Solution

The fourth proportional to 8,246.92, 11,381.04 and 4,710.07 is: 6,500.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.92 : 11,381.04 = 4,710.07 : x
  2. Step 2: Convert to fraction form
    8,246.92/11,381.04 = 4,710.07/x
  3. Step 3: Cross multiply
    8,246.92x = 11,381.04 × 4,710.07
  4. Step 4: Simplify right side
    8,246.92x = 53,605,495.07
  5. Step 5: Solve for x
    x = 53,605,495.07/8,246.92
  6. Step 6: Final answer
    x = 6,500.06

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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.