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Finding the Fourth Proportional to 7,705.44, 11,558.16 and 2,440.17

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Solution

The fourth proportional to 7,705.44, 11,558.16 and 2,440.17 is: 3,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.44 : 11,558.16 = 2,440.17 : x
  2. Step 2: Convert to fraction form
    7,705.44/11,558.16 = 2,440.17/x
  3. Step 3: Cross multiply
    7,705.44x = 11,558.16 × 2,440.17
  4. Step 4: Simplify right side
    7,705.44x = 28,203,875.29
  5. Step 5: Solve for x
    x = 28,203,875.29/7,705.44
  6. Step 6: Final answer
    x = 3,660.26

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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.