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Finding the Fourth Proportional to 7,111.56, 10,682.82 and 6,878.28

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Solution

The fourth proportional to 7,111.56, 10,682.82 and 6,878.28 is: 10,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.56 : 10,682.82 = 6,878.28 : x
  2. Step 2: Convert to fraction form
    7,111.56/10,682.82 = 6,878.28/x
  3. Step 3: Cross multiply
    7,111.56x = 10,682.82 × 6,878.28
  4. Step 4: Simplify right side
    7,111.56x = 73,479,427.15
  5. Step 5: Solve for x
    x = 73,479,427.15/7,111.56
  6. Step 6: Final answer
    x = 10,332.39

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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.