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Finding the Fourth Proportional to 6,768.06, 10,151.16 and 2,024.15

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Solution

The fourth proportional to 6,768.06, 10,151.16 and 2,024.15 is: 3,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.06 : 10,151.16 = 2,024.15 : x
  2. Step 2: Convert to fraction form
    6,768.06/10,151.16 = 2,024.15/x
  3. Step 3: Cross multiply
    6,768.06x = 10,151.16 × 2,024.15
  4. Step 4: Simplify right side
    6,768.06x = 20,547,470.51
  5. Step 5: Solve for x
    x = 20,547,470.51/6,768.06
  6. Step 6: Final answer
    x = 3,035.95

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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.