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Finding the Fourth Proportional to 8,124.47, 12,186.70 and 1,968.47

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Solution

The fourth proportional to 8,124.47, 12,186.70 and 1,968.47 is: 2,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.47 : 12,186.70 = 1,968.47 : x
  2. Step 2: Convert to fraction form
    8,124.47/12,186.70 = 1,968.47/x
  3. Step 3: Cross multiply
    8,124.47x = 12,186.70 × 1,968.47
  4. Step 4: Simplify right side
    8,124.47x = 23,989,144.27
  5. Step 5: Solve for x
    x = 23,989,144.27/8,124.47
  6. Step 6: Final answer
    x = 2,952.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.