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Finding the Fourth Proportional to 10,697.81, 16,038.68 and 3,297.92

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Solution

The fourth proportional to 10,697.81, 16,038.68 and 3,297.92 is: 4,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.81 : 16,038.68 = 3,297.92 : x
  2. Step 2: Convert to fraction form
    10,697.81/16,038.68 = 3,297.92/x
  3. Step 3: Cross multiply
    10,697.81x = 16,038.68 × 3,297.92
  4. Step 4: Simplify right side
    10,697.81x = 52,894,186.86
  5. Step 5: Solve for x
    x = 52,894,186.86/10,697.81
  6. Step 6: Final answer
    x = 4,944.40

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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.