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Finding the Fourth Proportional to 7,487.30, 10,325.91 and 5,994.67

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Solution

The fourth proportional to 7,487.30, 10,325.91 and 5,994.67 is: 8,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.30 : 10,325.91 = 5,994.67 : x
  2. Step 2: Convert to fraction form
    7,487.30/10,325.91 = 5,994.67/x
  3. Step 3: Cross multiply
    7,487.30x = 10,325.91 × 5,994.67
  4. Step 4: Simplify right side
    7,487.30x = 61,900,367.11
  5. Step 5: Solve for x
    x = 61,900,367.11/7,487.30
  6. Step 6: Final answer
    x = 8,267.39

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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.