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Finding the Fourth Proportional to 11,244.81, 15,497.28 and 7,461.30

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Solution

The fourth proportional to 11,244.81, 15,497.28 and 7,461.30 is: 10,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.81 : 15,497.28 = 7,461.30 : x
  2. Step 2: Convert to fraction form
    11,244.81/15,497.28 = 7,461.30/x
  3. Step 3: Cross multiply
    11,244.81x = 15,497.28 × 7,461.30
  4. Step 4: Simplify right side
    11,244.81x = 115,629,855.26
  5. Step 5: Solve for x
    x = 115,629,855.26/11,244.81
  6. Step 6: Final answer
    x = 10,282.95

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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.