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Finding the Fourth Proportional to 6,956.81, 10,423.48 and 3,442.13

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Solution

The fourth proportional to 6,956.81, 10,423.48 and 3,442.13 is: 5,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.81 : 10,423.48 = 3,442.13 : x
  2. Step 2: Convert to fraction form
    6,956.81/10,423.48 = 3,442.13/x
  3. Step 3: Cross multiply
    6,956.81x = 10,423.48 × 3,442.13
  4. Step 4: Simplify right side
    6,956.81x = 35,878,973.21
  5. Step 5: Solve for x
    x = 35,878,973.21/6,956.81
  6. Step 6: Final answer
    x = 5,157.39

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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.