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Finding the Fourth Proportional to 9,118.10, 12,551.37 and 7,863.32

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Solution

The fourth proportional to 9,118.10, 12,551.37 and 7,863.32 is: 10,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.10 : 12,551.37 = 7,863.32 : x
  2. Step 2: Convert to fraction form
    9,118.10/12,551.37 = 7,863.32/x
  3. Step 3: Cross multiply
    9,118.10x = 12,551.37 × 7,863.32
  4. Step 4: Simplify right side
    9,118.10x = 98,695,438.75
  5. Step 5: Solve for x
    x = 98,695,438.75/9,118.10
  6. Step 6: Final answer
    x = 10,824.12

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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.