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Finding the Fourth Proportional to 7,809.34, 11,705.85 and 3,423.10

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Solution

The fourth proportional to 7,809.34, 11,705.85 and 3,423.10 is: 5,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.34 : 11,705.85 = 3,423.10 : x
  2. Step 2: Convert to fraction form
    7,809.34/11,705.85 = 3,423.10/x
  3. Step 3: Cross multiply
    7,809.34x = 11,705.85 × 3,423.10
  4. Step 4: Simplify right side
    7,809.34x = 40,070,295.14
  5. Step 5: Solve for x
    x = 40,070,295.14/7,809.34
  6. Step 6: Final answer
    x = 5,131.07

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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.