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Finding the Fourth Proportional to 8,646.93, 11,924.88 and 5,661.67

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Solution

The fourth proportional to 8,646.93, 11,924.88 and 5,661.67 is: 7,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.93 : 11,924.88 = 5,661.67 : x
  2. Step 2: Convert to fraction form
    8,646.93/11,924.88 = 5,661.67/x
  3. Step 3: Cross multiply
    8,646.93x = 11,924.88 × 5,661.67
  4. Step 4: Simplify right side
    8,646.93x = 67,514,735.35
  5. Step 5: Solve for x
    x = 67,514,735.35/8,646.93
  6. Step 6: Final answer
    x = 7,807.94

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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.