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Finding the Fourth Proportional to 11,686.95, 17,530.56 and 6,753.60

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Solution

The fourth proportional to 11,686.95, 17,530.56 and 6,753.60 is: 10,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.95 : 17,530.56 = 6,753.60 : x
  2. Step 2: Convert to fraction form
    11,686.95/17,530.56 = 6,753.60/x
  3. Step 3: Cross multiply
    11,686.95x = 17,530.56 × 6,753.60
  4. Step 4: Simplify right side
    11,686.95x = 118,394,390.02
  5. Step 5: Solve for x
    x = 118,394,390.02/11,686.95
  6. Step 6: Final answer
    x = 10,130.48

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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.