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Finding the Fourth Proportional to 8,121.40, 11,203.05 and 4,762.60

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Solution

The fourth proportional to 8,121.40, 11,203.05 and 4,762.60 is: 6,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.40 : 11,203.05 = 4,762.60 : x
  2. Step 2: Convert to fraction form
    8,121.40/11,203.05 = 4,762.60/x
  3. Step 3: Cross multiply
    8,121.40x = 11,203.05 × 4,762.60
  4. Step 4: Simplify right side
    8,121.40x = 53,355,645.93
  5. Step 5: Solve for x
    x = 53,355,645.93/8,121.40
  6. Step 6: Final answer
    x = 6,569.76

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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.