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Finding the Fourth Proportional to 7,092.70, 10,643.10 and 2,713.30

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Solution

The fourth proportional to 7,092.70, 10,643.10 and 2,713.30 is: 4,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.70 : 10,643.10 = 2,713.30 : x
  2. Step 2: Convert to fraction form
    7,092.70/10,643.10 = 2,713.30/x
  3. Step 3: Cross multiply
    7,092.70x = 10,643.10 × 2,713.30
  4. Step 4: Simplify right side
    7,092.70x = 28,877,923.23
  5. Step 5: Solve for x
    x = 28,877,923.23/7,092.70
  6. Step 6: Final answer
    x = 4,071.50

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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.