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Finding the Fourth Proportional to 12,175.04, 16,801.50 and 6,586.04

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Solution

The fourth proportional to 12,175.04, 16,801.50 and 6,586.04 is: 9,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.04 : 16,801.50 = 6,586.04 : x
  2. Step 2: Convert to fraction form
    12,175.04/16,801.50 = 6,586.04/x
  3. Step 3: Cross multiply
    12,175.04x = 16,801.50 × 6,586.04
  4. Step 4: Simplify right side
    12,175.04x = 110,655,351.06
  5. Step 5: Solve for x
    x = 110,655,351.06/12,175.04
  6. Step 6: Final answer
    x = 9,088.71

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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.