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Finding the Fourth Proportional to 6,813.52, 10,222.16 and 2,431.40

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Solution

The fourth proportional to 6,813.52, 10,222.16 and 2,431.40 is: 3,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.52 : 10,222.16 = 2,431.40 : x
  2. Step 2: Convert to fraction form
    6,813.52/10,222.16 = 2,431.40/x
  3. Step 3: Cross multiply
    6,813.52x = 10,222.16 × 2,431.40
  4. Step 4: Simplify right side
    6,813.52x = 24,854,159.82
  5. Step 5: Solve for x
    x = 24,854,159.82/6,813.52
  6. Step 6: Final answer
    x = 3,647.77

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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.