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Finding the Fourth Proportional to 10,023.72, 14,974.11 and 7,226.52

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Solution

The fourth proportional to 10,023.72, 14,974.11 and 7,226.52 is: 10,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.72 : 14,974.11 = 7,226.52 : x
  2. Step 2: Convert to fraction form
    10,023.72/14,974.11 = 7,226.52/x
  3. Step 3: Cross multiply
    10,023.72x = 14,974.11 × 7,226.52
  4. Step 4: Simplify right side
    10,023.72x = 108,210,705.40
  5. Step 5: Solve for x
    x = 108,210,705.40/10,023.72
  6. Step 6: Final answer
    x = 10,795.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.