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Finding the Fourth Proportional to 10,681, 16,023.56 and 3,284.14

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Solution

The fourth proportional to 10,681, 16,023.56 and 3,284.14 is: 4,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681 : 16,023.56 = 3,284.14 : x
  2. Step 2: Convert to fraction form
    10,681/16,023.56 = 3,284.14/x
  3. Step 3: Cross multiply
    10,681x = 16,023.56 × 3,284.14
  4. Step 4: Simplify right side
    10,681x = 52,623,614.34
  5. Step 5: Solve for x
    x = 52,623,614.34/10,681
  6. Step 6: Final answer
    x = 4,926.84

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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.