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Finding the Fourth Proportional to 8,652.30, 11,933.64 and 7,459.38

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Solution

The fourth proportional to 8,652.30, 11,933.64 and 7,459.38 is: 10,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.30 : 11,933.64 = 7,459.38 : x
  2. Step 2: Convert to fraction form
    8,652.30/11,933.64 = 7,459.38/x
  3. Step 3: Cross multiply
    8,652.30x = 11,933.64 × 7,459.38
  4. Step 4: Simplify right side
    8,652.30x = 89,017,555.54
  5. Step 5: Solve for x
    x = 89,017,555.54/8,652.30
  6. Step 6: Final answer
    x = 10,288.31

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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.