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Finding the Fourth Proportional to 11,261.21, 15,532.02 and 9,986.58

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Solution

The fourth proportional to 11,261.21, 15,532.02 and 9,986.58 is: 13,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.21 : 15,532.02 = 9,986.58 : x
  2. Step 2: Convert to fraction form
    11,261.21/15,532.02 = 9,986.58/x
  3. Step 3: Cross multiply
    11,261.21x = 15,532.02 × 9,986.58
  4. Step 4: Simplify right side
    11,261.21x = 155,111,760.29
  5. Step 5: Solve for x
    x = 155,111,760.29/11,261.21
  6. Step 6: Final answer
    x = 13,773.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.