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Finding the Fourth Proportional to 7,321, 10,091.10 and 5,724.76

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Solution

The fourth proportional to 7,321, 10,091.10 and 5,724.76 is: 7,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321 : 10,091.10 = 5,724.76 : x
  2. Step 2: Convert to fraction form
    7,321/10,091.10 = 5,724.76/x
  3. Step 3: Cross multiply
    7,321x = 10,091.10 × 5,724.76
  4. Step 4: Simplify right side
    7,321x = 57,769,125.64
  5. Step 5: Solve for x
    x = 57,769,125.64/7,321
  6. Step 6: Final answer
    x = 7,890.88

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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.