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Finding the Fourth Proportional to 11,854.89, 17,785.58 and 4,064.31

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Solution

The fourth proportional to 11,854.89, 17,785.58 and 4,064.31 is: 6,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.89 : 17,785.58 = 4,064.31 : x
  2. Step 2: Convert to fraction form
    11,854.89/17,785.58 = 4,064.31/x
  3. Step 3: Cross multiply
    11,854.89x = 17,785.58 × 4,064.31
  4. Step 4: Simplify right side
    11,854.89x = 72,286,090.33
  5. Step 5: Solve for x
    x = 72,286,090.33/11,854.89
  6. Step 6: Final answer
    x = 6,097.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.