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Finding the Fourth Proportional to 8,698.78, 12,004.77 and 5,716.36

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Solution

The fourth proportional to 8,698.78, 12,004.77 and 5,716.36 is: 7,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.78 : 12,004.77 = 5,716.36 : x
  2. Step 2: Convert to fraction form
    8,698.78/12,004.77 = 5,716.36/x
  3. Step 3: Cross multiply
    8,698.78x = 12,004.77 × 5,716.36
  4. Step 4: Simplify right side
    8,698.78x = 68,623,587.04
  5. Step 5: Solve for x
    x = 68,623,587.04/8,698.78
  6. Step 6: Final answer
    x = 7,888.87

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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.