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Finding the Fourth Proportional to 10,197.66, 14,091.03 and 7,965.18

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Solution

The fourth proportional to 10,197.66, 14,091.03 and 7,965.18 is: 11,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.66 : 14,091.03 = 7,965.18 : x
  2. Step 2: Convert to fraction form
    10,197.66/14,091.03 = 7,965.18/x
  3. Step 3: Cross multiply
    10,197.66x = 14,091.03 × 7,965.18
  4. Step 4: Simplify right side
    10,197.66x = 112,237,590.34
  5. Step 5: Solve for x
    x = 112,237,590.34/10,197.66
  6. Step 6: Final answer
    x = 11,006.21

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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.