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Finding the Fourth Proportional to 10,626.36, 15,934 and 4,777.96

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Solution

The fourth proportional to 10,626.36, 15,934 and 4,777.96 is: 7,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.36 : 15,934 = 4,777.96 : x
  2. Step 2: Convert to fraction form
    10,626.36/15,934 = 4,777.96/x
  3. Step 3: Cross multiply
    10,626.36x = 15,934 × 4,777.96
  4. Step 4: Simplify right side
    10,626.36x = 76,132,014.64
  5. Step 5: Solve for x
    x = 76,132,014.64/10,626.36
  6. Step 6: Final answer
    x = 7,164.45

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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.