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Finding the Fourth Proportional to 7,405.78, 11,110.50 and 5,218.78

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Solution

The fourth proportional to 7,405.78, 11,110.50 and 5,218.78 is: 7,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.78 : 11,110.50 = 5,218.78 : x
  2. Step 2: Convert to fraction form
    7,405.78/11,110.50 = 5,218.78/x
  3. Step 3: Cross multiply
    7,405.78x = 11,110.50 × 5,218.78
  4. Step 4: Simplify right side
    7,405.78x = 57,983,255.19
  5. Step 5: Solve for x
    x = 57,983,255.19/7,405.78
  6. Step 6: Final answer
    x = 7,829.46

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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.