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Finding the Fourth Proportional to 7,443.34, 11,182.42 and 7,023.02

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Solution

The fourth proportional to 7,443.34, 11,182.42 and 7,023.02 is: 10,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.34 : 11,182.42 = 7,023.02 : x
  2. Step 2: Convert to fraction form
    7,443.34/11,182.42 = 7,023.02/x
  3. Step 3: Cross multiply
    7,443.34x = 11,182.42 × 7,023.02
  4. Step 4: Simplify right side
    7,443.34x = 78,534,359.31
  5. Step 5: Solve for x
    x = 78,534,359.31/7,443.34
  6. Step 6: Final answer
    x = 10,550.96

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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.