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Finding the Fourth Proportional to 7,021.51, 10,510.23 and 3,854.61

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Solution

The fourth proportional to 7,021.51, 10,510.23 and 3,854.61 is: 5,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.51 : 10,510.23 = 3,854.61 : x
  2. Step 2: Convert to fraction form
    7,021.51/10,510.23 = 3,854.61/x
  3. Step 3: Cross multiply
    7,021.51x = 10,510.23 × 3,854.61
  4. Step 4: Simplify right side
    7,021.51x = 40,512,837.66
  5. Step 5: Solve for x
    x = 40,512,837.66/7,021.51
  6. Step 6: Final answer
    x = 5,769.82

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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.