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Finding the Fourth Proportional to 7,321.05, 10,970.07 and 5,659.25

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Solution

The fourth proportional to 7,321.05, 10,970.07 and 5,659.25 is: 8,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.05 : 10,970.07 = 5,659.25 : x
  2. Step 2: Convert to fraction form
    7,321.05/10,970.07 = 5,659.25/x
  3. Step 3: Cross multiply
    7,321.05x = 10,970.07 × 5,659.25
  4. Step 4: Simplify right side
    7,321.05x = 62,082,327.95
  5. Step 5: Solve for x
    x = 62,082,327.95/7,321.05
  6. Step 6: Final answer
    x = 8,479.98

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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.