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Finding the Fourth Proportional to 10,611.17, 15,911.28 and 7,284.50

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Solution

The fourth proportional to 10,611.17, 15,911.28 and 7,284.50 is: 10,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.17 : 15,911.28 = 7,284.50 : x
  2. Step 2: Convert to fraction form
    10,611.17/15,911.28 = 7,284.50/x
  3. Step 3: Cross multiply
    10,611.17x = 15,911.28 × 7,284.50
  4. Step 4: Simplify right side
    10,611.17x = 115,905,639.60
  5. Step 5: Solve for x
    x = 115,905,639.60/10,611.17
  6. Step 6: Final answer
    x = 10,922.99

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Why These Related Problems?

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