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Finding the Fourth Proportional to 6,709.36, 10,055.76 and 3,420.64

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Solution

The fourth proportional to 6,709.36, 10,055.76 and 3,420.64 is: 5,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.36 : 10,055.76 = 3,420.64 : x
  2. Step 2: Convert to fraction form
    6,709.36/10,055.76 = 3,420.64/x
  3. Step 3: Cross multiply
    6,709.36x = 10,055.76 × 3,420.64
  4. Step 4: Simplify right side
    6,709.36x = 34,397,134.89
  5. Step 5: Solve for x
    x = 34,397,134.89/6,709.36
  6. Step 6: Final answer
    x = 5,126.74

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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.