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Finding the Fourth Proportional to 10,021.95, 15,023.01 and 4,747.70

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Solution

The fourth proportional to 10,021.95, 15,023.01 and 4,747.70 is: 7,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.95 : 15,023.01 = 4,747.70 : x
  2. Step 2: Convert to fraction form
    10,021.95/15,023.01 = 4,747.70/x
  3. Step 3: Cross multiply
    10,021.95x = 15,023.01 × 4,747.70
  4. Step 4: Simplify right side
    10,021.95x = 71,324,669.46
  5. Step 5: Solve for x
    x = 71,324,669.46/10,021.95
  6. Step 6: Final answer
    x = 7,116.85

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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.