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Finding the Fourth Proportional to 6,875.84, 10,315.15 and 2,195.71

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Solution

The fourth proportional to 6,875.84, 10,315.15 and 2,195.71 is: 3,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.84 : 10,315.15 = 2,195.71 : x
  2. Step 2: Convert to fraction form
    6,875.84/10,315.15 = 2,195.71/x
  3. Step 3: Cross multiply
    6,875.84x = 10,315.15 × 2,195.71
  4. Step 4: Simplify right side
    6,875.84x = 22,649,046.73
  5. Step 5: Solve for x
    x = 22,649,046.73/6,875.84
  6. Step 6: Final answer
    x = 3,294.01

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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.