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Finding the Fourth Proportional to 10,308.34, 15,462.54 and 4,383.70

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Solution

The fourth proportional to 10,308.34, 15,462.54 and 4,383.70 is: 6,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.34 : 15,462.54 = 4,383.70 : x
  2. Step 2: Convert to fraction form
    10,308.34/15,462.54 = 4,383.70/x
  3. Step 3: Cross multiply
    10,308.34x = 15,462.54 × 4,383.70
  4. Step 4: Simplify right side
    10,308.34x = 67,783,136.60
  5. Step 5: Solve for x
    x = 67,783,136.60/10,308.34
  6. Step 6: Final answer
    x = 6,575.56

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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.