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Finding the Fourth Proportional to 8,126.38, 12,189.58 and 1,970.38

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Solution

The fourth proportional to 8,126.38, 12,189.58 and 1,970.38 is: 2,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.38 : 12,189.58 = 1,970.38 : x
  2. Step 2: Convert to fraction form
    8,126.38/12,189.58 = 1,970.38/x
  3. Step 3: Cross multiply
    8,126.38x = 12,189.58 × 1,970.38
  4. Step 4: Simplify right side
    8,126.38x = 24,018,104.64
  5. Step 5: Solve for x
    x = 24,018,104.64/8,126.38
  6. Step 6: Final answer
    x = 2,955.57

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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.