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Finding the Fourth Proportional to 7,654.58, 11,471.18 and 4,137

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Solution

The fourth proportional to 7,654.58, 11,471.18 and 4,137 is: 6,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.58 : 11,471.18 = 4,137 : x
  2. Step 2: Convert to fraction form
    7,654.58/11,471.18 = 4,137/x
  3. Step 3: Cross multiply
    7,654.58x = 11,471.18 × 4,137
  4. Step 4: Simplify right side
    7,654.58x = 47,456,271.66
  5. Step 5: Solve for x
    x = 47,456,271.66/7,654.58
  6. Step 6: Final answer
    x = 6,199.72

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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.