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Finding the Fourth Proportional to 10,982, 16,475.08 and 4,408.72

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Solution

The fourth proportional to 10,982, 16,475.08 and 4,408.72 is: 6,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982 : 16,475.08 = 4,408.72 : x
  2. Step 2: Convert to fraction form
    10,982/16,475.08 = 4,408.72/x
  3. Step 3: Cross multiply
    10,982x = 16,475.08 × 4,408.72
  4. Step 4: Simplify right side
    10,982x = 72,634,014.70
  5. Step 5: Solve for x
    x = 72,634,014.70/10,982
  6. Step 6: Final answer
    x = 6,613.92

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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.