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Finding the Fourth Proportional to 7,456.88, 11,168.44 and 4,290.32

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Solution

The fourth proportional to 7,456.88, 11,168.44 and 4,290.32 is: 6,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.88 : 11,168.44 = 4,290.32 : x
  2. Step 2: Convert to fraction form
    7,456.88/11,168.44 = 4,290.32/x
  3. Step 3: Cross multiply
    7,456.88x = 11,168.44 × 4,290.32
  4. Step 4: Simplify right side
    7,456.88x = 47,916,181.50
  5. Step 5: Solve for x
    x = 47,916,181.50/7,456.88
  6. Step 6: Final answer
    x = 6,425.77

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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.