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Finding the Fourth Proportional to 10,294.58, 14,201.28 and 6,511.39

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Solution

The fourth proportional to 10,294.58, 14,201.28 and 6,511.39 is: 8,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.58 : 14,201.28 = 6,511.39 : x
  2. Step 2: Convert to fraction form
    10,294.58/14,201.28 = 6,511.39/x
  3. Step 3: Cross multiply
    10,294.58x = 14,201.28 × 6,511.39
  4. Step 4: Simplify right side
    10,294.58x = 92,470,037.08
  5. Step 5: Solve for x
    x = 92,470,037.08/10,294.58
  6. Step 6: Final answer
    x = 8,982.40

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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.