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Finding the Fourth Proportional to 7,024.16, 10,536 and 2,093.80

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Solution

The fourth proportional to 7,024.16, 10,536 and 2,093.80 is: 3,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.16 : 10,536 = 2,093.80 : x
  2. Step 2: Convert to fraction form
    7,024.16/10,536 = 2,093.80/x
  3. Step 3: Cross multiply
    7,024.16x = 10,536 × 2,093.80
  4. Step 4: Simplify right side
    7,024.16x = 22,060,276.80
  5. Step 5: Solve for x
    x = 22,060,276.80/7,024.16
  6. Step 6: Final answer
    x = 3,140.63

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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.