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Finding the Fourth Proportional to 11,504.36, 15,870.13 and 7,727.94

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Solution

The fourth proportional to 11,504.36, 15,870.13 and 7,727.94 is: 10,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.36 : 15,870.13 = 7,727.94 : x
  2. Step 2: Convert to fraction form
    11,504.36/15,870.13 = 7,727.94/x
  3. Step 3: Cross multiply
    11,504.36x = 15,870.13 × 7,727.94
  4. Step 4: Simplify right side
    11,504.36x = 122,643,393.11
  5. Step 5: Solve for x
    x = 122,643,393.11/11,504.36
  6. Step 6: Final answer
    x = 10,660.60

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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.