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Finding the Fourth Proportional to 8,666.89, 11,960.31 and 4,688

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Solution

The fourth proportional to 8,666.89, 11,960.31 and 4,688 is: 6,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.89 : 11,960.31 = 4,688 : x
  2. Step 2: Convert to fraction form
    8,666.89/11,960.31 = 4,688/x
  3. Step 3: Cross multiply
    8,666.89x = 11,960.31 × 4,688
  4. Step 4: Simplify right side
    8,666.89x = 56,069,933.28
  5. Step 5: Solve for x
    x = 56,069,933.28/8,666.89
  6. Step 6: Final answer
    x = 6,469.44

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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.