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Finding the Fourth Proportional to 11,686.12, 17,539.80 and 6,143.20

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Solution

The fourth proportional to 11,686.12, 17,539.80 and 6,143.20 is: 9,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.12 : 17,539.80 = 6,143.20 : x
  2. Step 2: Convert to fraction form
    11,686.12/17,539.80 = 6,143.20/x
  3. Step 3: Cross multiply
    11,686.12x = 17,539.80 × 6,143.20
  4. Step 4: Simplify right side
    11,686.12x = 107,750,499.36
  5. Step 5: Solve for x
    x = 107,750,499.36/11,686.12
  6. Step 6: Final answer
    x = 9,220.38

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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.