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Finding the Fourth Proportional to 11,883.08, 16,398.72 and 6,578

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Solution

The fourth proportional to 11,883.08, 16,398.72 and 6,578 is: 9,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.08 : 16,398.72 = 6,578 : x
  2. Step 2: Convert to fraction form
    11,883.08/16,398.72 = 6,578/x
  3. Step 3: Cross multiply
    11,883.08x = 16,398.72 × 6,578
  4. Step 4: Simplify right side
    11,883.08x = 107,870,780.16
  5. Step 5: Solve for x
    x = 107,870,780.16/11,883.08
  6. Step 6: Final answer
    x = 9,077.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.