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Finding the Fourth Proportional to 7,878.23, 11,813.18 and 2,330.81

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Solution

The fourth proportional to 7,878.23, 11,813.18 and 2,330.81 is: 3,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.23 : 11,813.18 = 2,330.81 : x
  2. Step 2: Convert to fraction form
    7,878.23/11,813.18 = 2,330.81/x
  3. Step 3: Cross multiply
    7,878.23x = 11,813.18 × 2,330.81
  4. Step 4: Simplify right side
    7,878.23x = 27,534,318.10
  5. Step 5: Solve for x
    x = 27,534,318.10/7,878.23
  6. Step 6: Final answer
    x = 3,494.99

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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.