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Finding the Fourth Proportional to 6,956.42, 10,437.62 and 4,617.24

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Solution

The fourth proportional to 6,956.42, 10,437.62 and 4,617.24 is: 6,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.42 : 10,437.62 = 4,617.24 : x
  2. Step 2: Convert to fraction form
    6,956.42/10,437.62 = 4,617.24/x
  3. Step 3: Cross multiply
    6,956.42x = 10,437.62 × 4,617.24
  4. Step 4: Simplify right side
    6,956.42x = 48,192,996.57
  5. Step 5: Solve for x
    x = 48,192,996.57/6,956.42
  6. Step 6: Final answer
    x = 6,927.84

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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.