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Finding the Fourth Proportional to 8,829.68, 12,188.15 and 5,846.47

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Solution

The fourth proportional to 8,829.68, 12,188.15 and 5,846.47 is: 8,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.68 : 12,188.15 = 5,846.47 : x
  2. Step 2: Convert to fraction form
    8,829.68/12,188.15 = 5,846.47/x
  3. Step 3: Cross multiply
    8,829.68x = 12,188.15 × 5,846.47
  4. Step 4: Simplify right side
    8,829.68x = 71,257,653.33
  5. Step 5: Solve for x
    x = 71,257,653.33/8,829.68
  6. Step 6: Final answer
    x = 8,070.25

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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.