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Finding the Fourth Proportional to 10,294.36, 15,404.64 and 8,912.46

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Solution

The fourth proportional to 10,294.36, 15,404.64 and 8,912.46 is: 13,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.36 : 15,404.64 = 8,912.46 : x
  2. Step 2: Convert to fraction form
    10,294.36/15,404.64 = 8,912.46/x
  3. Step 3: Cross multiply
    10,294.36x = 15,404.64 × 8,912.46
  4. Step 4: Simplify right side
    10,294.36x = 137,293,237.81
  5. Step 5: Solve for x
    x = 137,293,237.81/10,294.36
  6. Step 6: Final answer
    x = 13,336.74

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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.