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Finding the Fourth Proportional to 8,802, 12,146.76 and 4,823.12

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Solution

The fourth proportional to 8,802, 12,146.76 and 4,823.12 is: 6,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802 : 12,146.76 = 4,823.12 : x
  2. Step 2: Convert to fraction form
    8,802/12,146.76 = 4,823.12/x
  3. Step 3: Cross multiply
    8,802x = 12,146.76 × 4,823.12
  4. Step 4: Simplify right side
    8,802x = 58,585,311.46
  5. Step 5: Solve for x
    x = 58,585,311.46/8,802
  6. Step 6: Final answer
    x = 6,655.91

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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.