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Finding the Fourth Proportional to 7,266.18, 10,900.80 and 2,586.90

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Solution

The fourth proportional to 7,266.18, 10,900.80 and 2,586.90 is: 3,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.18 : 10,900.80 = 2,586.90 : x
  2. Step 2: Convert to fraction form
    7,266.18/10,900.80 = 2,586.90/x
  3. Step 3: Cross multiply
    7,266.18x = 10,900.80 × 2,586.90
  4. Step 4: Simplify right side
    7,266.18x = 28,199,279.52
  5. Step 5: Solve for x
    x = 28,199,279.52/7,266.18
  6. Step 6: Final answer
    x = 3,880.89

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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.