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Finding the Fourth Proportional to 7,705.44, 11,552.64 and 3,263.40

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Solution

The fourth proportional to 7,705.44, 11,552.64 and 3,263.40 is: 4,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.44 : 11,552.64 = 3,263.40 : x
  2. Step 2: Convert to fraction form
    7,705.44/11,552.64 = 3,263.40/x
  3. Step 3: Cross multiply
    7,705.44x = 11,552.64 × 3,263.40
  4. Step 4: Simplify right side
    7,705.44x = 37,700,885.38
  5. Step 5: Solve for x
    x = 37,700,885.38/7,705.44
  6. Step 6: Final answer
    x = 4,892.76

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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.