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Finding the Fourth Proportional to 10,294.60, 15,438.30 and 5,362.60

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Solution

The fourth proportional to 10,294.60, 15,438.30 and 5,362.60 is: 8,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.60 : 15,438.30 = 5,362.60 : x
  2. Step 2: Convert to fraction form
    10,294.60/15,438.30 = 5,362.60/x
  3. Step 3: Cross multiply
    10,294.60x = 15,438.30 × 5,362.60
  4. Step 4: Simplify right side
    10,294.60x = 82,789,427.58
  5. Step 5: Solve for x
    x = 82,789,427.58/10,294.60
  6. Step 6: Final answer
    x = 8,042.02

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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.