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Finding the Fourth Proportional to 7,468.58, 11,203 and 6,078.48

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Solution

The fourth proportional to 7,468.58, 11,203 and 6,078.48 is: 9,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.58 : 11,203 = 6,078.48 : x
  2. Step 2: Convert to fraction form
    7,468.58/11,203 = 6,078.48/x
  3. Step 3: Cross multiply
    7,468.58x = 11,203 × 6,078.48
  4. Step 4: Simplify right side
    7,468.58x = 68,097,211.44
  5. Step 5: Solve for x
    x = 68,097,211.44/7,468.58
  6. Step 6: Final answer
    x = 9,117.83

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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.