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Finding the Fourth Proportional to 7,813.68, 11,720.58 and 2,267.40

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Solution

The fourth proportional to 7,813.68, 11,720.58 and 2,267.40 is: 3,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.68 : 11,720.58 = 2,267.40 : x
  2. Step 2: Convert to fraction form
    7,813.68/11,720.58 = 2,267.40/x
  3. Step 3: Cross multiply
    7,813.68x = 11,720.58 × 2,267.40
  4. Step 4: Simplify right side
    7,813.68x = 26,575,243.09
  5. Step 5: Solve for x
    x = 26,575,243.09/7,813.68
  6. Step 6: Final answer
    x = 3,401.12

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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.