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Finding the Fourth Proportional to 11,858.60, 17,798.67 and 6,316.65

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Solution

The fourth proportional to 11,858.60, 17,798.67 and 6,316.65 is: 9,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.60 : 17,798.67 = 6,316.65 : x
  2. Step 2: Convert to fraction form
    11,858.60/17,798.67 = 6,316.65/x
  3. Step 3: Cross multiply
    11,858.60x = 17,798.67 × 6,316.65
  4. Step 4: Simplify right side
    11,858.60x = 112,427,968.86
  5. Step 5: Solve for x
    x = 112,427,968.86/11,858.60
  6. Step 6: Final answer
    x = 9,480.71

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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.