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Finding the Fourth Proportional to 8,376.11, 12,564.52 and 2,830.02

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Solution

The fourth proportional to 8,376.11, 12,564.52 and 2,830.02 is: 4,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.11 : 12,564.52 = 2,830.02 : x
  2. Step 2: Convert to fraction form
    8,376.11/12,564.52 = 2,830.02/x
  3. Step 3: Cross multiply
    8,376.11x = 12,564.52 × 2,830.02
  4. Step 4: Simplify right side
    8,376.11x = 35,557,835.82
  5. Step 5: Solve for x
    x = 35,557,835.82/8,376.11
  6. Step 6: Final answer
    x = 4,245.15

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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.