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Finding the Fourth Proportional to 10,890.57, 15,029.28 and 6,175.16

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Solution

The fourth proportional to 10,890.57, 15,029.28 and 6,175.16 is: 8,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890.57 : 15,029.28 = 6,175.16 : x
  2. Step 2: Convert to fraction form
    10,890.57/15,029.28 = 6,175.16/x
  3. Step 3: Cross multiply
    10,890.57x = 15,029.28 × 6,175.16
  4. Step 4: Simplify right side
    10,890.57x = 92,808,208.68
  5. Step 5: Solve for x
    x = 92,808,208.68/10,890.57
  6. Step 6: Final answer
    x = 8,521.89

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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.