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Finding the Fourth Proportional to 7,705.53, 11,555.97 and 4,005.74

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Solution

The fourth proportional to 7,705.53, 11,555.97 and 4,005.74 is: 6,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.53 : 11,555.97 = 4,005.74 : x
  2. Step 2: Convert to fraction form
    7,705.53/11,555.97 = 4,005.74/x
  3. Step 3: Cross multiply
    7,705.53x = 11,555.97 × 4,005.74
  4. Step 4: Simplify right side
    7,705.53x = 46,290,153.49
  5. Step 5: Solve for x
    x = 46,290,153.49/7,705.53
  6. Step 6: Final answer
    x = 6,007.39

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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.