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Finding the Fourth Proportional to 7,524.76, 11,287.50 and 2,844.40

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Solution

The fourth proportional to 7,524.76, 11,287.50 and 2,844.40 is: 4,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.76 : 11,287.50 = 2,844.40 : x
  2. Step 2: Convert to fraction form
    7,524.76/11,287.50 = 2,844.40/x
  3. Step 3: Cross multiply
    7,524.76x = 11,287.50 × 2,844.40
  4. Step 4: Simplify right side
    7,524.76x = 32,106,165
  5. Step 5: Solve for x
    x = 32,106,165/7,524.76
  6. Step 6: Final answer
    x = 4,266.74

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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.