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Finding the Fourth Proportional to 7,876.36, 11,814.55 and 7,395.22

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Solution

The fourth proportional to 7,876.36, 11,814.55 and 7,395.22 is: 11,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.36 : 11,814.55 = 7,395.22 : x
  2. Step 2: Convert to fraction form
    7,876.36/11,814.55 = 7,395.22/x
  3. Step 3: Cross multiply
    7,876.36x = 11,814.55 × 7,395.22
  4. Step 4: Simplify right side
    7,876.36x = 87,371,196.45
  5. Step 5: Solve for x
    x = 87,371,196.45/7,876.36
  6. Step 6: Final answer
    x = 11,092.84

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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.