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Finding the Fourth Proportional to 7,535.72, 10,394.06 and 5,173.76

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Solution

The fourth proportional to 7,535.72, 10,394.06 and 5,173.76 is: 7,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.72 : 10,394.06 = 5,173.76 : x
  2. Step 2: Convert to fraction form
    7,535.72/10,394.06 = 5,173.76/x
  3. Step 3: Cross multiply
    7,535.72x = 10,394.06 × 5,173.76
  4. Step 4: Simplify right side
    7,535.72x = 53,776,371.87
  5. Step 5: Solve for x
    x = 53,776,371.87/7,535.72
  6. Step 6: Final answer
    x = 7,136.20

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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.