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Finding the Fourth Proportional to 8,462.66, 11,678.22 and 4,685.69

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Solution

The fourth proportional to 8,462.66, 11,678.22 and 4,685.69 is: 6,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.66 : 11,678.22 = 4,685.69 : x
  2. Step 2: Convert to fraction form
    8,462.66/11,678.22 = 4,685.69/x
  3. Step 3: Cross multiply
    8,462.66x = 11,678.22 × 4,685.69
  4. Step 4: Simplify right side
    8,462.66x = 54,720,518.67
  5. Step 5: Solve for x
    x = 54,720,518.67/8,462.66
  6. Step 6: Final answer
    x = 6,466.11

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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.