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Finding the Fourth Proportional to 11,781.16, 17,666.10 and 6,852.12

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Solution

The fourth proportional to 11,781.16, 17,666.10 and 6,852.12 is: 10,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.16 : 17,666.10 = 6,852.12 : x
  2. Step 2: Convert to fraction form
    11,781.16/17,666.10 = 6,852.12/x
  3. Step 3: Cross multiply
    11,781.16x = 17,666.10 × 6,852.12
  4. Step 4: Simplify right side
    11,781.16x = 121,050,237.13
  5. Step 5: Solve for x
    x = 121,050,237.13/11,781.16
  6. Step 6: Final answer
    x = 10,274.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.