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Finding the Fourth Proportional to 7,284.62, 10,047.09 and 4,893.80

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Solution

The fourth proportional to 7,284.62, 10,047.09 and 4,893.80 is: 6,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.62 : 10,047.09 = 4,893.80 : x
  2. Step 2: Convert to fraction form
    7,284.62/10,047.09 = 4,893.80/x
  3. Step 3: Cross multiply
    7,284.62x = 10,047.09 × 4,893.80
  4. Step 4: Simplify right side
    7,284.62x = 49,168,449.04
  5. Step 5: Solve for x
    x = 49,168,449.04/7,284.62
  6. Step 6: Final answer
    x = 6,749.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.