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Finding the Fourth Proportional to 11,655.90, 17,489.02 and 6,107.93

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Solution

The fourth proportional to 11,655.90, 17,489.02 and 6,107.93 is: 9,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.90 : 17,489.02 = 6,107.93 : x
  2. Step 2: Convert to fraction form
    11,655.90/17,489.02 = 6,107.93/x
  3. Step 3: Cross multiply
    11,655.90x = 17,489.02 × 6,107.93
  4. Step 4: Simplify right side
    11,655.90x = 106,821,607.21
  5. Step 5: Solve for x
    x = 106,821,607.21/11,655.90
  6. Step 6: Final answer
    x = 9,164.60

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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.