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Finding the Fourth Proportional to 7,875.36, 11,813.05 and 7,394.22

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Solution

The fourth proportional to 7,875.36, 11,813.05 and 7,394.22 is: 11,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.36 : 11,813.05 = 7,394.22 : x
  2. Step 2: Convert to fraction form
    7,875.36/11,813.05 = 7,394.22/x
  3. Step 3: Cross multiply
    7,875.36x = 11,813.05 × 7,394.22
  4. Step 4: Simplify right side
    7,875.36x = 87,348,194.53
  5. Step 5: Solve for x
    x = 87,348,194.53/7,875.36
  6. Step 6: Final answer
    x = 11,091.33

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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.