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Finding the Fourth Proportional to 10,150.16, 15,217.86 and 6,855.08

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Solution

The fourth proportional to 10,150.16, 15,217.86 and 6,855.08 is: 10,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.16 : 15,217.86 = 6,855.08 : x
  2. Step 2: Convert to fraction form
    10,150.16/15,217.86 = 6,855.08/x
  3. Step 3: Cross multiply
    10,150.16x = 15,217.86 × 6,855.08
  4. Step 4: Simplify right side
    10,150.16x = 104,319,647.73
  5. Step 5: Solve for x
    x = 104,319,647.73/10,150.16
  6. Step 6: Final answer
    x = 10,277.64

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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.