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Finding the Fourth Proportional to 7,803.22, 11,710.98 and 3,423.70

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Solution

The fourth proportional to 7,803.22, 11,710.98 and 3,423.70 is: 5,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.22 : 11,710.98 = 3,423.70 : x
  2. Step 2: Convert to fraction form
    7,803.22/11,710.98 = 3,423.70/x
  3. Step 3: Cross multiply
    7,803.22x = 11,710.98 × 3,423.70
  4. Step 4: Simplify right side
    7,803.22x = 40,094,882.23
  5. Step 5: Solve for x
    x = 40,094,882.23/7,803.22
  6. Step 6: Final answer
    x = 5,138.25

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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.