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Finding the Fourth Proportional to 8,464.88, 11,681.50 and 4,688.34

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Solution

The fourth proportional to 8,464.88, 11,681.50 and 4,688.34 is: 6,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.88 : 11,681.50 = 4,688.34 : x
  2. Step 2: Convert to fraction form
    8,464.88/11,681.50 = 4,688.34/x
  3. Step 3: Cross multiply
    8,464.88x = 11,681.50 × 4,688.34
  4. Step 4: Simplify right side
    8,464.88x = 54,766,843.71
  5. Step 5: Solve for x
    x = 54,766,843.71/8,464.88
  6. Step 6: Final answer
    x = 6,469.89

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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.