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Finding the Fourth Proportional to 7,705.79, 11,551.38 and 2,772.72

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Solution

The fourth proportional to 7,705.79, 11,551.38 and 2,772.72 is: 4,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.79 : 11,551.38 = 2,772.72 : x
  2. Step 2: Convert to fraction form
    7,705.79/11,551.38 = 2,772.72/x
  3. Step 3: Cross multiply
    7,705.79x = 11,551.38 × 2,772.72
  4. Step 4: Simplify right side
    7,705.79x = 32,028,742.35
  5. Step 5: Solve for x
    x = 32,028,742.35/7,705.79
  6. Step 6: Final answer
    x = 4,156.45

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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.