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Finding the Fourth Proportional to 7,952.33, 10,974.87 and 4,415.77

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Solution

The fourth proportional to 7,952.33, 10,974.87 and 4,415.77 is: 6,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.33 : 10,974.87 = 4,415.77 : x
  2. Step 2: Convert to fraction form
    7,952.33/10,974.87 = 4,415.77/x
  3. Step 3: Cross multiply
    7,952.33x = 10,974.87 × 4,415.77
  4. Step 4: Simplify right side
    7,952.33x = 48,462,441.27
  5. Step 5: Solve for x
    x = 48,462,441.27/7,952.33
  6. Step 6: Final answer
    x = 6,094.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.