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Finding the Fourth Proportional to 7,699.76, 11,540.04 and 3,312.20

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Solution

The fourth proportional to 7,699.76, 11,540.04 and 3,312.20 is: 4,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.76 : 11,540.04 = 3,312.20 : x
  2. Step 2: Convert to fraction form
    7,699.76/11,540.04 = 3,312.20/x
  3. Step 3: Cross multiply
    7,699.76x = 11,540.04 × 3,312.20
  4. Step 4: Simplify right side
    7,699.76x = 38,222,920.49
  5. Step 5: Solve for x
    x = 38,222,920.49/7,699.76
  6. Step 6: Final answer
    x = 4,964.17

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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.