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Finding the Fourth Proportional to 7,994.25, 11,031.64 and 4,457.38

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Solution

The fourth proportional to 7,994.25, 11,031.64 and 4,457.38 is: 6,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.25 : 11,031.64 = 4,457.38 : x
  2. Step 2: Convert to fraction form
    7,994.25/11,031.64 = 4,457.38/x
  3. Step 3: Cross multiply
    7,994.25x = 11,031.64 × 4,457.38
  4. Step 4: Simplify right side
    7,994.25x = 49,172,211.50
  5. Step 5: Solve for x
    x = 49,172,211.50/7,994.25
  6. Step 6: Final answer
    x = 6,150.95

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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.