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Finding the Fourth Proportional to 10,788.01, 16,182.06 and 6,409.15

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Solution

The fourth proportional to 10,788.01, 16,182.06 and 6,409.15 is: 9,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.01 : 16,182.06 = 6,409.15 : x
  2. Step 2: Convert to fraction form
    10,788.01/16,182.06 = 6,409.15/x
  3. Step 3: Cross multiply
    10,788.01x = 16,182.06 × 6,409.15
  4. Step 4: Simplify right side
    10,788.01x = 103,713,249.85
  5. Step 5: Solve for x
    x = 103,713,249.85/10,788.01
  6. Step 6: Final answer
    x = 9,613.75

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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.