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Finding the Fourth Proportional to 7,407.78, 10,223.84 and 4,263.36

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Solution

The fourth proportional to 7,407.78, 10,223.84 and 4,263.36 is: 5,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.78 : 10,223.84 = 4,263.36 : x
  2. Step 2: Convert to fraction form
    7,407.78/10,223.84 = 4,263.36/x
  3. Step 3: Cross multiply
    7,407.78x = 10,223.84 × 4,263.36
  4. Step 4: Simplify right side
    7,407.78x = 43,587,910.50
  5. Step 5: Solve for x
    x = 43,587,910.50/7,407.78
  6. Step 6: Final answer
    x = 5,884.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.