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Finding the Fourth Proportional to 8,462.88, 11,684.06 and 5,439.22

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Solution

The fourth proportional to 8,462.88, 11,684.06 and 5,439.22 is: 7,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.88 : 11,684.06 = 5,439.22 : x
  2. Step 2: Convert to fraction form
    8,462.88/11,684.06 = 5,439.22/x
  3. Step 3: Cross multiply
    8,462.88x = 11,684.06 × 5,439.22
  4. Step 4: Simplify right side
    8,462.88x = 63,552,172.83
  5. Step 5: Solve for x
    x = 63,552,172.83/8,462.88
  6. Step 6: Final answer
    x = 7,509.52

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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.