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Finding the Fourth Proportional to 7,103.90, 10,657.45 and 4,180.70

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Solution

The fourth proportional to 7,103.90, 10,657.45 and 4,180.70 is: 6,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.90 : 10,657.45 = 4,180.70 : x
  2. Step 2: Convert to fraction form
    7,103.90/10,657.45 = 4,180.70/x
  3. Step 3: Cross multiply
    7,103.90x = 10,657.45 × 4,180.70
  4. Step 4: Simplify right side
    7,103.90x = 44,555,601.22
  5. Step 5: Solve for x
    x = 44,555,601.22/7,103.90
  6. Step 6: Final answer
    x = 6,271.99

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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.