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Finding the Fourth Proportional to 8,002.95, 11,043.83 and 4,646.04

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Solution

The fourth proportional to 8,002.95, 11,043.83 and 4,646.04 is: 6,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.95 : 11,043.83 = 4,646.04 : x
  2. Step 2: Convert to fraction form
    8,002.95/11,043.83 = 4,646.04/x
  3. Step 3: Cross multiply
    8,002.95x = 11,043.83 × 4,646.04
  4. Step 4: Simplify right side
    8,002.95x = 51,310,052.70
  5. Step 5: Solve for x
    x = 51,310,052.70/8,002.95
  6. Step 6: Final answer
    x = 6,411.39

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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.