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Finding the Fourth Proportional to 11,785.59, 17,678.88 and 4,669.80

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Solution

The fourth proportional to 11,785.59, 17,678.88 and 4,669.80 is: 7,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.59 : 17,678.88 = 4,669.80 : x
  2. Step 2: Convert to fraction form
    11,785.59/17,678.88 = 4,669.80/x
  3. Step 3: Cross multiply
    11,785.59x = 17,678.88 × 4,669.80
  4. Step 4: Simplify right side
    11,785.59x = 82,556,833.82
  5. Step 5: Solve for x
    x = 82,556,833.82/11,785.59
  6. Step 6: Final answer
    x = 7,004.90

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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.