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Finding the Fourth Proportional to 7,970.10, 11,954.23 and 2,127.16

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Solution

The fourth proportional to 7,970.10, 11,954.23 and 2,127.16 is: 3,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.10 : 11,954.23 = 2,127.16 : x
  2. Step 2: Convert to fraction form
    7,970.10/11,954.23 = 2,127.16/x
  3. Step 3: Cross multiply
    7,970.10x = 11,954.23 × 2,127.16
  4. Step 4: Simplify right side
    7,970.10x = 25,428,581.48
  5. Step 5: Solve for x
    x = 25,428,581.48/7,970.10
  6. Step 6: Final answer
    x = 3,190.50

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Why These Related Problems?

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