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Finding the Fourth Proportional to 6,007.48, 8,286.15 and 5,511.76

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Solution

The fourth proportional to 6,007.48, 8,286.15 and 5,511.76 is: 7,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.48 : 8,286.15 = 5,511.76 : x
  2. Step 2: Convert to fraction form
    6,007.48/8,286.15 = 5,511.76/x
  3. Step 3: Cross multiply
    6,007.48x = 8,286.15 × 5,511.76
  4. Step 4: Simplify right side
    6,007.48x = 45,671,270.12
  5. Step 5: Solve for x
    x = 45,671,270.12/6,007.48
  6. Step 6: Final answer
    x = 7,602.40

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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.