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Finding the Fourth Proportional to 6,752.76, 10,129.05 and 3,464.07

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Solution

The fourth proportional to 6,752.76, 10,129.05 and 3,464.07 is: 5,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.76 : 10,129.05 = 3,464.07 : x
  2. Step 2: Convert to fraction form
    6,752.76/10,129.05 = 3,464.07/x
  3. Step 3: Cross multiply
    6,752.76x = 10,129.05 × 3,464.07
  4. Step 4: Simplify right side
    6,752.76x = 35,087,738.23
  5. Step 5: Solve for x
    x = 35,087,738.23/6,752.76
  6. Step 6: Final answer
    x = 5,196.06

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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.