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Finding the Fourth Proportional to 7,566.34, 11,339.90 and 3,401.90

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Solution

The fourth proportional to 7,566.34, 11,339.90 and 3,401.90 is: 5,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.34 : 11,339.90 = 3,401.90 : x
  2. Step 2: Convert to fraction form
    7,566.34/11,339.90 = 3,401.90/x
  3. Step 3: Cross multiply
    7,566.34x = 11,339.90 × 3,401.90
  4. Step 4: Simplify right side
    7,566.34x = 38,577,205.81
  5. Step 5: Solve for x
    x = 38,577,205.81/7,566.34
  6. Step 6: Final answer
    x = 5,098.53

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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.