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Finding the Fourth Proportional to 7,522.83, 10,381.89 and 4,166.01

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Solution

The fourth proportional to 7,522.83, 10,381.89 and 4,166.01 is: 5,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.83 : 10,381.89 = 4,166.01 : x
  2. Step 2: Convert to fraction form
    7,522.83/10,381.89 = 4,166.01/x
  3. Step 3: Cross multiply
    7,522.83x = 10,381.89 × 4,166.01
  4. Step 4: Simplify right side
    7,522.83x = 43,251,073.18
  5. Step 5: Solve for x
    x = 43,251,073.18/7,522.83
  6. Step 6: Final answer
    x = 5,749.31

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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.