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Finding the Fourth Proportional to 7,466.16, 11,199.90 and 3,766.50

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Solution

The fourth proportional to 7,466.16, 11,199.90 and 3,766.50 is: 5,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.16 : 11,199.90 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    7,466.16/11,199.90 = 3,766.50/x
  3. Step 3: Cross multiply
    7,466.16x = 11,199.90 × 3,766.50
  4. Step 4: Simplify right side
    7,466.16x = 42,184,423.35
  5. Step 5: Solve for x
    x = 42,184,423.35/7,466.16
  6. Step 6: Final answer
    x = 5,650.08

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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.