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Finding the Fourth Proportional to 7,582.44, 11,377.80 and 5,745

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Solution

The fourth proportional to 7,582.44, 11,377.80 and 5,745 is: 8,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.44 : 11,377.80 = 5,745 : x
  2. Step 2: Convert to fraction form
    7,582.44/11,377.80 = 5,745/x
  3. Step 3: Cross multiply
    7,582.44x = 11,377.80 × 5,745
  4. Step 4: Simplify right side
    7,582.44x = 65,365,461.00
  5. Step 5: Solve for x
    x = 65,365,461.00/7,582.44
  6. Step 6: Final answer
    x = 8,620.64

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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.