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Finding the Fourth Proportional to 7,340.31, 11,003.22 and 4,700.31

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Solution

The fourth proportional to 7,340.31, 11,003.22 and 4,700.31 is: 7,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.31 : 11,003.22 = 4,700.31 : x
  2. Step 2: Convert to fraction form
    7,340.31/11,003.22 = 4,700.31/x
  3. Step 3: Cross multiply
    7,340.31x = 11,003.22 × 4,700.31
  4. Step 4: Simplify right side
    7,340.31x = 51,718,545.00
  5. Step 5: Solve for x
    x = 51,718,545.00/7,340.31
  6. Step 6: Final answer
    x = 7,045.83

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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.