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Finding the Fourth Proportional to 8,358.41, 11,538.62 and 6,678.07

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Solution

The fourth proportional to 8,358.41, 11,538.62 and 6,678.07 is: 9,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.41 : 11,538.62 = 6,678.07 : x
  2. Step 2: Convert to fraction form
    8,358.41/11,538.62 = 6,678.07/x
  3. Step 3: Cross multiply
    8,358.41x = 11,538.62 × 6,678.07
  4. Step 4: Simplify right side
    8,358.41x = 77,055,674.87
  5. Step 5: Solve for x
    x = 77,055,674.87/8,358.41
  6. Step 6: Final answer
    x = 9,218.94

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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.