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Finding the Fourth Proportional to 7,265.83, 10,027.01 and 4,122.02

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Solution

The fourth proportional to 7,265.83, 10,027.01 and 4,122.02 is: 5,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.83 : 10,027.01 = 4,122.02 : x
  2. Step 2: Convert to fraction form
    7,265.83/10,027.01 = 4,122.02/x
  3. Step 3: Cross multiply
    7,265.83x = 10,027.01 × 4,122.02
  4. Step 4: Simplify right side
    7,265.83x = 41,331,535.76
  5. Step 5: Solve for x
    x = 41,331,535.76/7,265.83
  6. Step 6: Final answer
    x = 5,688.48

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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.