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Finding the Fourth Proportional to 7,878.84, 11,814.14 and 2,331.43

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Solution

The fourth proportional to 7,878.84, 11,814.14 and 2,331.43 is: 3,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.84 : 11,814.14 = 2,331.43 : x
  2. Step 2: Convert to fraction form
    7,878.84/11,814.14 = 2,331.43/x
  3. Step 3: Cross multiply
    7,878.84x = 11,814.14 × 2,331.43
  4. Step 4: Simplify right side
    7,878.84x = 27,543,816.71
  5. Step 5: Solve for x
    x = 27,543,816.71/7,878.84
  6. Step 6: Final answer
    x = 3,495.92

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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.