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Finding the Fourth Proportional to 7,970.46, 11,955.42 and 2,126.76

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Solution

The fourth proportional to 7,970.46, 11,955.42 and 2,126.76 is: 3,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.46 : 11,955.42 = 2,126.76 : x
  2. Step 2: Convert to fraction form
    7,970.46/11,955.42 = 2,126.76/x
  3. Step 3: Cross multiply
    7,970.46x = 11,955.42 × 2,126.76
  4. Step 4: Simplify right side
    7,970.46x = 25,426,309.04
  5. Step 5: Solve for x
    x = 25,426,309.04/7,970.46
  6. Step 6: Final answer
    x = 3,190.07

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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.