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Finding the Fourth Proportional to 10,137.66, 13,985.12 and 6,358.93

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Solution

The fourth proportional to 10,137.66, 13,985.12 and 6,358.93 is: 8,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.66 : 13,985.12 = 6,358.93 : x
  2. Step 2: Convert to fraction form
    10,137.66/13,985.12 = 6,358.93/x
  3. Step 3: Cross multiply
    10,137.66x = 13,985.12 × 6,358.93
  4. Step 4: Simplify right side
    10,137.66x = 88,930,367.33
  5. Step 5: Solve for x
    x = 88,930,367.33/10,137.66
  6. Step 6: Final answer
    x = 8,772.28

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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.