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Finding the Fourth Proportional to 11,438.12, 15,785.72 and 6,962.16

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Solution

The fourth proportional to 11,438.12, 15,785.72 and 6,962.16 is: 9,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.12 : 15,785.72 = 6,962.16 : x
  2. Step 2: Convert to fraction form
    11,438.12/15,785.72 = 6,962.16/x
  3. Step 3: Cross multiply
    11,438.12x = 15,785.72 × 6,962.16
  4. Step 4: Simplify right side
    11,438.12x = 109,902,708.36
  5. Step 5: Solve for x
    x = 109,902,708.36/11,438.12
  6. Step 6: Final answer
    x = 9,608.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.