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Finding the Fourth Proportional to 7,024.99, 10,534.14 and 2,092.90

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Solution

The fourth proportional to 7,024.99, 10,534.14 and 2,092.90 is: 3,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.99 : 10,534.14 = 2,092.90 : x
  2. Step 2: Convert to fraction form
    7,024.99/10,534.14 = 2,092.90/x
  3. Step 3: Cross multiply
    7,024.99x = 10,534.14 × 2,092.90
  4. Step 4: Simplify right side
    7,024.99x = 22,046,901.61
  5. Step 5: Solve for x
    x = 22,046,901.61/7,024.99
  6. Step 6: Final answer
    x = 3,138.35

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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.