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Finding the Fourth Proportional to 8,066.88, 12,123 and 4,780.44

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Solution

The fourth proportional to 8,066.88, 12,123 and 4,780.44 is: 7,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.88 : 12,123 = 4,780.44 : x
  2. Step 2: Convert to fraction form
    8,066.88/12,123 = 4,780.44/x
  3. Step 3: Cross multiply
    8,066.88x = 12,123 × 4,780.44
  4. Step 4: Simplify right side
    8,066.88x = 57,953,274.12
  5. Step 5: Solve for x
    x = 57,953,274.12/8,066.88
  6. Step 6: Final answer
    x = 7,184.10

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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.