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Finding the Fourth Proportional to 7,284.63, 10,924.43 and 4,507.05

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Solution

The fourth proportional to 7,284.63, 10,924.43 and 4,507.05 is: 6,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.63 : 10,924.43 = 4,507.05 : x
  2. Step 2: Convert to fraction form
    7,284.63/10,924.43 = 4,507.05/x
  3. Step 3: Cross multiply
    7,284.63x = 10,924.43 × 4,507.05
  4. Step 4: Simplify right side
    7,284.63x = 49,236,929.70
  5. Step 5: Solve for x
    x = 49,236,929.70/7,284.63
  6. Step 6: Final answer
    x = 6,759.02

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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.