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Finding the Fourth Proportional to 6,975.84, 10,462.86 and 5,813.10

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Solution

The fourth proportional to 6,975.84, 10,462.86 and 5,813.10 is: 8,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.84 : 10,462.86 = 5,813.10 : x
  2. Step 2: Convert to fraction form
    6,975.84/10,462.86 = 5,813.10/x
  3. Step 3: Cross multiply
    6,975.84x = 10,462.86 × 5,813.10
  4. Step 4: Simplify right side
    6,975.84x = 60,821,651.47
  5. Step 5: Solve for x
    x = 60,821,651.47/6,975.84
  6. Step 6: Final answer
    x = 8,718.90

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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.