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Finding the Fourth Proportional to 7,705.10, 11,551.17 and 3,999.35

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Solution

The fourth proportional to 7,705.10, 11,551.17 and 3,999.35 is: 5,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.10 : 11,551.17 = 3,999.35 : x
  2. Step 2: Convert to fraction form
    7,705.10/11,551.17 = 3,999.35/x
  3. Step 3: Cross multiply
    7,705.10x = 11,551.17 × 3,999.35
  4. Step 4: Simplify right side
    7,705.10x = 46,197,171.74
  5. Step 5: Solve for x
    x = 46,197,171.74/7,705.10
  6. Step 6: Final answer
    x = 5,995.66

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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.