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Finding the Fourth Proportional to 7,705.68, 11,550.04 and 3,024.28

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Solution

The fourth proportional to 7,705.68, 11,550.04 and 3,024.28 is: 4,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.68 : 11,550.04 = 3,024.28 : x
  2. Step 2: Convert to fraction form
    7,705.68/11,550.04 = 3,024.28/x
  3. Step 3: Cross multiply
    7,705.68x = 11,550.04 × 3,024.28
  4. Step 4: Simplify right side
    7,705.68x = 34,930,554.97
  5. Step 5: Solve for x
    x = 34,930,554.97/7,705.68
  6. Step 6: Final answer
    x = 4,533.09

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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.