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Finding the Fourth Proportional to 7,141.95, 10,713.06 and 2,981.97

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Solution

The fourth proportional to 7,141.95, 10,713.06 and 2,981.97 is: 4,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.95 : 10,713.06 = 2,981.97 : x
  2. Step 2: Convert to fraction form
    7,141.95/10,713.06 = 2,981.97/x
  3. Step 3: Cross multiply
    7,141.95x = 10,713.06 × 2,981.97
  4. Step 4: Simplify right side
    7,141.95x = 31,946,023.53
  5. Step 5: Solve for x
    x = 31,946,023.53/7,141.95
  6. Step 6: Final answer
    x = 4,473.01

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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.