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Finding the Fourth Proportional to 6,956.69, 10,423.29 and 3,442.01

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Solution

The fourth proportional to 6,956.69, 10,423.29 and 3,442.01 is: 5,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.69 : 10,423.29 = 3,442.01 : x
  2. Step 2: Convert to fraction form
    6,956.69/10,423.29 = 3,442.01/x
  3. Step 3: Cross multiply
    6,956.69x = 10,423.29 × 3,442.01
  4. Step 4: Simplify right side
    6,956.69x = 35,877,068.41
  5. Step 5: Solve for x
    x = 35,877,068.41/6,956.69
  6. Step 6: Final answer
    x = 5,157.20

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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.