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Finding the Fourth Proportional to 7,301.88, 10,078.83 and 4,944

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Solution

The fourth proportional to 7,301.88, 10,078.83 and 4,944 is: 6,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.88 : 10,078.83 = 4,944 : x
  2. Step 2: Convert to fraction form
    7,301.88/10,078.83 = 4,944/x
  3. Step 3: Cross multiply
    7,301.88x = 10,078.83 × 4,944
  4. Step 4: Simplify right side
    7,301.88x = 49,829,735.52
  5. Step 5: Solve for x
    x = 49,829,735.52/7,301.88
  6. Step 6: Final answer
    x = 6,824.23

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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.