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Finding the Fourth Proportional to 8,697.80, 13,046.54 and 2,852.04

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Solution

The fourth proportional to 8,697.80, 13,046.54 and 2,852.04 is: 4,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.80 : 13,046.54 = 2,852.04 : x
  2. Step 2: Convert to fraction form
    8,697.80/13,046.54 = 2,852.04/x
  3. Step 3: Cross multiply
    8,697.80x = 13,046.54 × 2,852.04
  4. Step 4: Simplify right side
    8,697.80x = 37,209,253.94
  5. Step 5: Solve for x
    x = 37,209,253.94/8,697.80
  6. Step 6: Final answer
    x = 4,278.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.