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Finding the Fourth Proportional to 7,876.33, 11,810.40 and 3,715.22

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Solution

The fourth proportional to 7,876.33, 11,810.40 and 3,715.22 is: 5,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.33 : 11,810.40 = 3,715.22 : x
  2. Step 2: Convert to fraction form
    7,876.33/11,810.40 = 3,715.22/x
  3. Step 3: Cross multiply
    7,876.33x = 11,810.40 × 3,715.22
  4. Step 4: Simplify right side
    7,876.33x = 43,878,249.88
  5. Step 5: Solve for x
    x = 43,878,249.88/7,876.33
  6. Step 6: Final answer
    x = 5,570.90

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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.