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Finding the Fourth Proportional to 7,313.22, 10,971.24 and 2,931.12

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Solution

The fourth proportional to 7,313.22, 10,971.24 and 2,931.12 is: 4,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.22 : 10,971.24 = 2,931.12 : x
  2. Step 2: Convert to fraction form
    7,313.22/10,971.24 = 2,931.12/x
  3. Step 3: Cross multiply
    7,313.22x = 10,971.24 × 2,931.12
  4. Step 4: Simplify right side
    7,313.22x = 32,158,020.99
  5. Step 5: Solve for x
    x = 32,158,020.99/7,313.22
  6. Step 6: Final answer
    x = 4,397.25

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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.