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Finding the Fourth Proportional to 8,244.92, 11,378.28 and 4,708.08

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Solution

The fourth proportional to 8,244.92, 11,378.28 and 4,708.08 is: 6,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.92 : 11,378.28 = 4,708.08 : x
  2. Step 2: Convert to fraction form
    8,244.92/11,378.28 = 4,708.08/x
  3. Step 3: Cross multiply
    8,244.92x = 11,378.28 × 4,708.08
  4. Step 4: Simplify right side
    8,244.92x = 53,569,852.50
  5. Step 5: Solve for x
    x = 53,569,852.50/8,244.92
  6. Step 6: Final answer
    x = 6,497.32

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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.