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Finding the Fourth Proportional to 8,686.40, 11,993.12 and 5,707.36

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Solution

The fourth proportional to 8,686.40, 11,993.12 and 5,707.36 is: 7,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.40 : 11,993.12 = 5,707.36 : x
  2. Step 2: Convert to fraction form
    8,686.40/11,993.12 = 5,707.36/x
  3. Step 3: Cross multiply
    8,686.40x = 11,993.12 × 5,707.36
  4. Step 4: Simplify right side
    8,686.40x = 68,449,053.36
  5. Step 5: Solve for x
    x = 68,449,053.36/8,686.40
  6. Step 6: Final answer
    x = 7,880.03

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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.