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Finding the Fourth Proportional to 7,222.60, 9,971.82 and 5,899.48

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Solution

The fourth proportional to 7,222.60, 9,971.82 and 5,899.48 is: 8,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.60 : 9,971.82 = 5,899.48 : x
  2. Step 2: Convert to fraction form
    7,222.60/9,971.82 = 5,899.48/x
  3. Step 3: Cross multiply
    7,222.60x = 9,971.82 × 5,899.48
  4. Step 4: Simplify right side
    7,222.60x = 58,828,552.65
  5. Step 5: Solve for x
    x = 58,828,552.65/7,222.60
  6. Step 6: Final answer
    x = 8,145.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.