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Finding the Fourth Proportional to 7,460.57, 10,295.17 and 4,102.72

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Solution

The fourth proportional to 7,460.57, 10,295.17 and 4,102.72 is: 5,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.57 : 10,295.17 = 4,102.72 : x
  2. Step 2: Convert to fraction form
    7,460.57/10,295.17 = 4,102.72/x
  3. Step 3: Cross multiply
    7,460.57x = 10,295.17 × 4,102.72
  4. Step 4: Simplify right side
    7,460.57x = 42,238,163.87
  5. Step 5: Solve for x
    x = 42,238,163.87/7,460.57
  6. Step 6: Final answer
    x = 5,661.52

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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.