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Finding the Fourth Proportional to 7,309.03, 10,955.76 and 5,222.71

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Solution

The fourth proportional to 7,309.03, 10,955.76 and 5,222.71 is: 7,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.03 : 10,955.76 = 5,222.71 : x
  2. Step 2: Convert to fraction form
    7,309.03/10,955.76 = 5,222.71/x
  3. Step 3: Cross multiply
    7,309.03x = 10,955.76 × 5,222.71
  4. Step 4: Simplify right side
    7,309.03x = 57,218,757.31
  5. Step 5: Solve for x
    x = 57,218,757.31/7,309.03
  6. Step 6: Final answer
    x = 7,828.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.