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Finding the Fourth Proportional to 7,511.40, 10,367.06 and 6,250.77

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Solution

The fourth proportional to 7,511.40, 10,367.06 and 6,250.77 is: 8,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.40 : 10,367.06 = 6,250.77 : x
  2. Step 2: Convert to fraction form
    7,511.40/10,367.06 = 6,250.77/x
  3. Step 3: Cross multiply
    7,511.40x = 10,367.06 × 6,250.77
  4. Step 4: Simplify right side
    7,511.40x = 64,802,076.38
  5. Step 5: Solve for x
    x = 64,802,076.38/7,511.40
  6. Step 6: Final answer
    x = 8,627.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.