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Finding the Fourth Proportional to 6,953.49, 10,430.92 and 2,023.17

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Solution

The fourth proportional to 6,953.49, 10,430.92 and 2,023.17 is: 3,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.49 : 10,430.92 = 2,023.17 : x
  2. Step 2: Convert to fraction form
    6,953.49/10,430.92 = 2,023.17/x
  3. Step 3: Cross multiply
    6,953.49x = 10,430.92 × 2,023.17
  4. Step 4: Simplify right side
    6,953.49x = 21,103,524.42
  5. Step 5: Solve for x
    x = 21,103,524.42/6,953.49
  6. Step 6: Final answer
    x = 3,034.95

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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.