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Finding the Fourth Proportional to 11,394.81, 15,728.13 and 6,615.82

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Solution

The fourth proportional to 11,394.81, 15,728.13 and 6,615.82 is: 9,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.81 : 15,728.13 = 6,615.82 : x
  2. Step 2: Convert to fraction form
    11,394.81/15,728.13 = 6,615.82/x
  3. Step 3: Cross multiply
    11,394.81x = 15,728.13 × 6,615.82
  4. Step 4: Simplify right side
    11,394.81x = 104,054,477.02
  5. Step 5: Solve for x
    x = 104,054,477.02/11,394.81
  6. Step 6: Final answer
    x = 9,131.74

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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.