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Finding the Fourth Proportional to 7,697.40, 11,546.91 and 2,502.06

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Solution

The fourth proportional to 7,697.40, 11,546.91 and 2,502.06 is: 3,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.40 : 11,546.91 = 2,502.06 : x
  2. Step 2: Convert to fraction form
    7,697.40/11,546.91 = 2,502.06/x
  3. Step 3: Cross multiply
    7,697.40x = 11,546.91 × 2,502.06
  4. Step 4: Simplify right side
    7,697.40x = 28,891,061.63
  5. Step 5: Solve for x
    x = 28,891,061.63/7,697.40
  6. Step 6: Final answer
    x = 3,753.35

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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.