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Finding the Fourth Proportional to 7,392.50, 10,202.29 and 4,081.14

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Solution

The fourth proportional to 7,392.50, 10,202.29 and 4,081.14 is: 5,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.50 : 10,202.29 = 4,081.14 : x
  2. Step 2: Convert to fraction form
    7,392.50/10,202.29 = 4,081.14/x
  3. Step 3: Cross multiply
    7,392.50x = 10,202.29 × 4,081.14
  4. Step 4: Simplify right side
    7,392.50x = 41,636,973.81
  5. Step 5: Solve for x
    x = 41,636,973.81/7,392.50
  6. Step 6: Final answer
    x = 5,632.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.