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Finding the Fourth Proportional to 10,293.40, 15,427.95 and 7,693.30

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Solution

The fourth proportional to 10,293.40, 15,427.95 and 7,693.30 is: 11,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.40 : 15,427.95 = 7,693.30 : x
  2. Step 2: Convert to fraction form
    10,293.40/15,427.95 = 7,693.30/x
  3. Step 3: Cross multiply
    10,293.40x = 15,427.95 × 7,693.30
  4. Step 4: Simplify right side
    10,293.40x = 118,691,847.74
  5. Step 5: Solve for x
    x = 118,691,847.74/10,293.40
  6. Step 6: Final answer
    x = 11,530.87

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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.