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Finding the Fourth Proportional to 7,322.32, 10,965 and 4,849.68

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Solution

The fourth proportional to 7,322.32, 10,965 and 4,849.68 is: 7,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.32 : 10,965 = 4,849.68 : x
  2. Step 2: Convert to fraction form
    7,322.32/10,965 = 4,849.68/x
  3. Step 3: Cross multiply
    7,322.32x = 10,965 × 4,849.68
  4. Step 4: Simplify right side
    7,322.32x = 53,176,741.20
  5. Step 5: Solve for x
    x = 53,176,741.20/7,322.32
  6. Step 6: Final answer
    x = 7,262.28

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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.