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Finding the Fourth Proportional to 7,385.43, 11,065.83 and 5,302.31

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Solution

The fourth proportional to 7,385.43, 11,065.83 and 5,302.31 is: 7,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.43 : 11,065.83 = 5,302.31 : x
  2. Step 2: Convert to fraction form
    7,385.43/11,065.83 = 5,302.31/x
  3. Step 3: Cross multiply
    7,385.43x = 11,065.83 × 5,302.31
  4. Step 4: Simplify right side
    7,385.43x = 58,674,405.74
  5. Step 5: Solve for x
    x = 58,674,405.74/7,385.43
  6. Step 6: Final answer
    x = 7,944.62

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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.