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Finding the Fourth Proportional to 6,678.67, 9,215.16 and 5,085

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Solution

The fourth proportional to 6,678.67, 9,215.16 and 5,085 is: 7,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.67 : 9,215.16 = 5,085 : x
  2. Step 2: Convert to fraction form
    6,678.67/9,215.16 = 5,085/x
  3. Step 3: Cross multiply
    6,678.67x = 9,215.16 × 5,085
  4. Step 4: Simplify right side
    6,678.67x = 46,859,088.60
  5. Step 5: Solve for x
    x = 46,859,088.60/6,678.67
  6. Step 6: Final answer
    x = 7,016.23

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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.