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Finding the Fourth Proportional to 11,494.81, 15,864.30 and 7,017.60

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Solution

The fourth proportional to 11,494.81, 15,864.30 and 7,017.60 is: 9,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.81 : 15,864.30 = 7,017.60 : x
  2. Step 2: Convert to fraction form
    11,494.81/15,864.30 = 7,017.60/x
  3. Step 3: Cross multiply
    11,494.81x = 15,864.30 × 7,017.60
  4. Step 4: Simplify right side
    11,494.81x = 111,329,311.68
  5. Step 5: Solve for x
    x = 111,329,311.68/11,494.81
  6. Step 6: Final answer
    x = 9,685.18

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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.