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Finding the Fourth Proportional to 8,906.36, 12,290.64 and 5,762.48

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Solution

The fourth proportional to 8,906.36, 12,290.64 and 5,762.48 is: 7,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.36 : 12,290.64 = 5,762.48 : x
  2. Step 2: Convert to fraction form
    8,906.36/12,290.64 = 5,762.48/x
  3. Step 3: Cross multiply
    8,906.36x = 12,290.64 × 5,762.48
  4. Step 4: Simplify right side
    8,906.36x = 70,824,567.19
  5. Step 5: Solve for x
    x = 70,824,567.19/8,906.36
  6. Step 6: Final answer
    x = 7,952.13

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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.