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Finding the Fourth Proportional to 11,477.32, 15,839.22 and 8,989

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Solution

The fourth proportional to 11,477.32, 15,839.22 and 8,989 is: 12,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.32 : 15,839.22 = 8,989 : x
  2. Step 2: Convert to fraction form
    11,477.32/15,839.22 = 8,989/x
  3. Step 3: Cross multiply
    11,477.32x = 15,839.22 × 8,989
  4. Step 4: Simplify right side
    11,477.32x = 142,378,748.58
  5. Step 5: Solve for x
    x = 142,378,748.58/11,477.32
  6. Step 6: Final answer
    x = 12,405.23

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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.