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Finding the Fourth Proportional to 10,842.04, 16,254.40 and 4,267

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Solution

The fourth proportional to 10,842.04, 16,254.40 and 4,267 is: 6,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.04 : 16,254.40 = 4,267 : x
  2. Step 2: Convert to fraction form
    10,842.04/16,254.40 = 4,267/x
  3. Step 3: Cross multiply
    10,842.04x = 16,254.40 × 4,267
  4. Step 4: Simplify right side
    10,842.04x = 69,357,524.80
  5. Step 5: Solve for x
    x = 69,357,524.80/10,842.04
  6. Step 6: Final answer
    x = 6,397.09

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