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Finding the Fourth Proportional to 10,654.34, 14,706.21 and 6,179.19

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Solution

The fourth proportional to 10,654.34, 14,706.21 and 6,179.19 is: 8,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.34 : 14,706.21 = 6,179.19 : x
  2. Step 2: Convert to fraction form
    10,654.34/14,706.21 = 6,179.19/x
  3. Step 3: Cross multiply
    10,654.34x = 14,706.21 × 6,179.19
  4. Step 4: Simplify right side
    10,654.34x = 90,872,399.04
  5. Step 5: Solve for x
    x = 90,872,399.04/10,654.34
  6. Step 6: Final answer
    x = 8,529.15

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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.