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Finding the Fourth Proportional to 10,611.42, 15,911.65 and 7,284.75

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Solution

The fourth proportional to 10,611.42, 15,911.65 and 7,284.75 is: 10,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.42 : 15,911.65 = 7,284.75 : x
  2. Step 2: Convert to fraction form
    10,611.42/15,911.65 = 7,284.75/x
  3. Step 3: Cross multiply
    10,611.42x = 15,911.65 × 7,284.75
  4. Step 4: Simplify right side
    10,611.42x = 115,912,392.34
  5. Step 5: Solve for x
    x = 115,912,392.34/10,611.42
  6. Step 6: Final answer
    x = 10,923.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.