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Finding the Fourth Proportional to 7,705.68, 11,555.64 and 2,774.04

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Solution

The fourth proportional to 7,705.68, 11,555.64 and 2,774.04 is: 4,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.68 : 11,555.64 = 2,774.04 : x
  2. Step 2: Convert to fraction form
    7,705.68/11,555.64 = 2,774.04/x
  3. Step 3: Cross multiply
    7,705.68x = 11,555.64 × 2,774.04
  4. Step 4: Simplify right side
    7,705.68x = 32,055,807.59
  5. Step 5: Solve for x
    x = 32,055,807.59/7,705.68
  6. Step 6: Final answer
    x = 4,160.02

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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.