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Finding the Fourth Proportional to 8,452.16, 11,637.48 and 7,674.56

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Solution

The fourth proportional to 8,452.16, 11,637.48 and 7,674.56 is: 10,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.16 : 11,637.48 = 7,674.56 : x
  2. Step 2: Convert to fraction form
    8,452.16/11,637.48 = 7,674.56/x
  3. Step 3: Cross multiply
    8,452.16x = 11,637.48 × 7,674.56
  4. Step 4: Simplify right side
    8,452.16x = 89,312,538.51
  5. Step 5: Solve for x
    x = 89,312,538.51/8,452.16
  6. Step 6: Final answer
    x = 10,566.83

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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.