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Finding the Fourth Proportional to 10,297.94, 15,452.87 and 4,374.41

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Solution

The fourth proportional to 10,297.94, 15,452.87 and 4,374.41 is: 6,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.94 : 15,452.87 = 4,374.41 : x
  2. Step 2: Convert to fraction form
    10,297.94/15,452.87 = 4,374.41/x
  3. Step 3: Cross multiply
    10,297.94x = 15,452.87 × 4,374.41
  4. Step 4: Simplify right side
    10,297.94x = 67,597,089.92
  5. Step 5: Solve for x
    x = 67,597,089.92/10,297.94
  6. Step 6: Final answer
    x = 6,564.14

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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.