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Finding the Fourth Proportional to 10,892.16, 16,339.32 and 4,322.88

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Solution

The fourth proportional to 10,892.16, 16,339.32 and 4,322.88 is: 6,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.16 : 16,339.32 = 4,322.88 : x
  2. Step 2: Convert to fraction form
    10,892.16/16,339.32 = 4,322.88/x
  3. Step 3: Cross multiply
    10,892.16x = 16,339.32 × 4,322.88
  4. Step 4: Simplify right side
    10,892.16x = 70,632,919.64
  5. Step 5: Solve for x
    x = 70,632,919.64/10,892.16
  6. Step 6: Final answer
    x = 6,484.75

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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.