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Finding the Fourth Proportional to 7,284.64, 10,926.32 and 3,774.48

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Solution

The fourth proportional to 7,284.64, 10,926.32 and 3,774.48 is: 5,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.64 : 10,926.32 = 3,774.48 : x
  2. Step 2: Convert to fraction form
    7,284.64/10,926.32 = 3,774.48/x
  3. Step 3: Cross multiply
    7,284.64x = 10,926.32 × 3,774.48
  4. Step 4: Simplify right side
    7,284.64x = 41,241,176.31
  5. Step 5: Solve for x
    x = 41,241,176.31/7,284.64
  6. Step 6: Final answer
    x = 5,661.39

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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.