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Finding the Fourth Proportional to 8,802, 12,147.84 and 5,076

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Solution

The fourth proportional to 8,802, 12,147.84 and 5,076 is: 7,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802 : 12,147.84 = 5,076 : x
  2. Step 2: Convert to fraction form
    8,802/12,147.84 = 5,076/x
  3. Step 3: Cross multiply
    8,802x = 12,147.84 × 5,076
  4. Step 4: Simplify right side
    8,802x = 61,662,435.84
  5. Step 5: Solve for x
    x = 61,662,435.84/8,802
  6. Step 6: Final answer
    x = 7,005.50

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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.