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Finding the Fourth Proportional to 11,684.94, 17,530.02 and 6,140.90

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Solution

The fourth proportional to 11,684.94, 17,530.02 and 6,140.90 is: 9,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.94 : 17,530.02 = 6,140.90 : x
  2. Step 2: Convert to fraction form
    11,684.94/17,530.02 = 6,140.90/x
  3. Step 3: Cross multiply
    11,684.94x = 17,530.02 × 6,140.90
  4. Step 4: Simplify right side
    11,684.94x = 107,650,099.82
  5. Step 5: Solve for x
    x = 107,650,099.82/11,684.94
  6. Step 6: Final answer
    x = 9,212.72

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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.