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Finding the Fourth Proportional to 7,582.62, 11,377.82 and 4,254.62

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Solution

The fourth proportional to 7,582.62, 11,377.82 and 4,254.62 is: 6,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.62 : 11,377.82 = 4,254.62 : x
  2. Step 2: Convert to fraction form
    7,582.62/11,377.82 = 4,254.62/x
  3. Step 3: Cross multiply
    7,582.62x = 11,377.82 × 4,254.62
  4. Step 4: Simplify right side
    7,582.62x = 48,408,222.37
  5. Step 5: Solve for x
    x = 48,408,222.37/7,582.62
  6. Step 6: Final answer
    x = 6,384.10

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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.