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Finding the Fourth Proportional to 8,538.16, 12,807 and 3,606.46

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Solution

The fourth proportional to 8,538.16, 12,807 and 3,606.46 is: 5,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.16 : 12,807 = 3,606.46 : x
  2. Step 2: Convert to fraction form
    8,538.16/12,807 = 3,606.46/x
  3. Step 3: Cross multiply
    8,538.16x = 12,807 × 3,606.46
  4. Step 4: Simplify right side
    8,538.16x = 46,187,933.22
  5. Step 5: Solve for x
    x = 46,187,933.22/8,538.16
  6. Step 6: Final answer
    x = 5,409.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.