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Finding the Fourth Proportional to 10,654.83, 14,704.74 and 6,179.58

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Solution

The fourth proportional to 10,654.83, 14,704.74 and 6,179.58 is: 8,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.83 : 14,704.74 = 6,179.58 : x
  2. Step 2: Convert to fraction form
    10,654.83/14,704.74 = 6,179.58/x
  3. Step 3: Cross multiply
    10,654.83x = 14,704.74 × 6,179.58
  4. Step 4: Simplify right side
    10,654.83x = 90,869,117.21
  5. Step 5: Solve for x
    x = 90,869,117.21/10,654.83
  6. Step 6: Final answer
    x = 8,528.44

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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.