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Finding the Fourth Proportional to 11,297.16, 15,589.38 and 6,636.58

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Solution

The fourth proportional to 11,297.16, 15,589.38 and 6,636.58 is: 9,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.16 : 15,589.38 = 6,636.58 : x
  2. Step 2: Convert to fraction form
    11,297.16/15,589.38 = 6,636.58/x
  3. Step 3: Cross multiply
    11,297.16x = 15,589.38 × 6,636.58
  4. Step 4: Simplify right side
    11,297.16x = 103,460,128.55
  5. Step 5: Solve for x
    x = 103,460,128.55/11,297.16
  6. Step 6: Final answer
    x = 9,158.07

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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.