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Finding the Fourth Proportional to 10,626.74, 15,956.56 and 5,706

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Solution

The fourth proportional to 10,626.74, 15,956.56 and 5,706 is: 8,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.74 : 15,956.56 = 5,706 : x
  2. Step 2: Convert to fraction form
    10,626.74/15,956.56 = 5,706/x
  3. Step 3: Cross multiply
    10,626.74x = 15,956.56 × 5,706
  4. Step 4: Simplify right side
    10,626.74x = 91,048,131.36
  5. Step 5: Solve for x
    x = 91,048,131.36/10,626.74
  6. Step 6: Final answer
    x = 8,567.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.