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Finding the Fourth Proportional to 8,326.64, 12,492.01 and 2,780.58

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Solution

The fourth proportional to 8,326.64, 12,492.01 and 2,780.58 is: 4,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.64 : 12,492.01 = 2,780.58 : x
  2. Step 2: Convert to fraction form
    8,326.64/12,492.01 = 2,780.58/x
  3. Step 3: Cross multiply
    8,326.64x = 12,492.01 × 2,780.58
  4. Step 4: Simplify right side
    8,326.64x = 34,735,033.17
  5. Step 5: Solve for x
    x = 34,735,033.17/8,326.64
  6. Step 6: Final answer
    x = 4,171.55

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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.