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Finding the Fourth Proportional to 11,405.71, 15,727.54 and 9,900.73

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Solution

The fourth proportional to 11,405.71, 15,727.54 and 9,900.73 is: 13,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.71 : 15,727.54 = 9,900.73 : x
  2. Step 2: Convert to fraction form
    11,405.71/15,727.54 = 9,900.73/x
  3. Step 3: Cross multiply
    11,405.71x = 15,727.54 × 9,900.73
  4. Step 4: Simplify right side
    11,405.71x = 155,714,127.10
  5. Step 5: Solve for x
    x = 155,714,127.10/11,405.71
  6. Step 6: Final answer
    x = 13,652.30

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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.