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Finding the Fourth Proportional to 8,799, 12,142.04 and 4,820.16

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Solution

The fourth proportional to 8,799, 12,142.04 and 4,820.16 is: 6,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,799 : 12,142.04 = 4,820.16 : x
  2. Step 2: Convert to fraction form
    8,799/12,142.04 = 4,820.16/x
  3. Step 3: Cross multiply
    8,799x = 12,142.04 × 4,820.16
  4. Step 4: Simplify right side
    8,799x = 58,526,575.53
  5. Step 5: Solve for x
    x = 58,526,575.53/8,799
  6. Step 6: Final answer
    x = 6,651.50

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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.