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Finding the Fourth Proportional to 7,266.42, 10,900.98 and 4,149.95

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Solution

The fourth proportional to 7,266.42, 10,900.98 and 4,149.95 is: 6,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.42 : 10,900.98 = 4,149.95 : x
  2. Step 2: Convert to fraction form
    7,266.42/10,900.98 = 4,149.95/x
  3. Step 3: Cross multiply
    7,266.42x = 10,900.98 × 4,149.95
  4. Step 4: Simplify right side
    7,266.42x = 45,238,467.45
  5. Step 5: Solve for x
    x = 45,238,467.45/7,266.42
  6. Step 6: Final answer
    x = 6,225.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.