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Finding the Fourth Proportional to 7,538.85, 10,404.72 and 4,351.56

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Solution

The fourth proportional to 7,538.85, 10,404.72 and 4,351.56 is: 6,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.85 : 10,404.72 = 4,351.56 : x
  2. Step 2: Convert to fraction form
    7,538.85/10,404.72 = 4,351.56/x
  3. Step 3: Cross multiply
    7,538.85x = 10,404.72 × 4,351.56
  4. Step 4: Simplify right side
    7,538.85x = 45,276,763.36
  5. Step 5: Solve for x
    x = 45,276,763.36/7,538.85
  6. Step 6: Final answer
    x = 6,005.79

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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.