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Finding the Fourth Proportional to 7,322.54, 10,965 and 4,031.96

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Solution

The fourth proportional to 7,322.54, 10,965 and 4,031.96 is: 6,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.54 : 10,965 = 4,031.96 : x
  2. Step 2: Convert to fraction form
    7,322.54/10,965 = 4,031.96/x
  3. Step 3: Cross multiply
    7,322.54x = 10,965 × 4,031.96
  4. Step 4: Simplify right side
    7,322.54x = 44,210,441.40
  5. Step 5: Solve for x
    x = 44,210,441.40/7,322.54
  6. Step 6: Final answer
    x = 6,037.58

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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.