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Finding the Fourth Proportional to 10,064.64, 15,092.09 and 4,219.68

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Solution

The fourth proportional to 10,064.64, 15,092.09 and 4,219.68 is: 6,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.64 : 15,092.09 = 4,219.68 : x
  2. Step 2: Convert to fraction form
    10,064.64/15,092.09 = 4,219.68/x
  3. Step 3: Cross multiply
    10,064.64x = 15,092.09 × 4,219.68
  4. Step 4: Simplify right side
    10,064.64x = 63,683,790.33
  5. Step 5: Solve for x
    x = 63,683,790.33/10,064.64
  6. Step 6: Final answer
    x = 6,327.48

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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.