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Finding the Fourth Proportional to 10,154.58, 14,013.99 and 6,175.86

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Solution

The fourth proportional to 10,154.58, 14,013.99 and 6,175.86 is: 8,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.58 : 14,013.99 = 6,175.86 : x
  2. Step 2: Convert to fraction form
    10,154.58/14,013.99 = 6,175.86/x
  3. Step 3: Cross multiply
    10,154.58x = 14,013.99 × 6,175.86
  4. Step 4: Simplify right side
    10,154.58x = 86,548,440.28
  5. Step 5: Solve for x
    x = 86,548,440.28/10,154.58
  6. Step 6: Final answer
    x = 8,523.09

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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.