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Finding the Fourth Proportional to 7,178.35, 10,762.85 and 2,498

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Solution

The fourth proportional to 7,178.35, 10,762.85 and 2,498 is: 3,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.35 : 10,762.85 = 2,498 : x
  2. Step 2: Convert to fraction form
    7,178.35/10,762.85 = 2,498/x
  3. Step 3: Cross multiply
    7,178.35x = 10,762.85 × 2,498
  4. Step 4: Simplify right side
    7,178.35x = 26,885,599.30
  5. Step 5: Solve for x
    x = 26,885,599.30/7,178.35
  6. Step 6: Final answer
    x = 3,745.37

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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.