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Finding the Fourth Proportional to 7,222.59, 10,829.16 and 3,705.93

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Solution

The fourth proportional to 7,222.59, 10,829.16 and 3,705.93 is: 5,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.59 : 10,829.16 = 3,705.93 : x
  2. Step 2: Convert to fraction form
    7,222.59/10,829.16 = 3,705.93/x
  3. Step 3: Cross multiply
    7,222.59x = 10,829.16 × 3,705.93
  4. Step 4: Simplify right side
    7,222.59x = 40,132,108.92
  5. Step 5: Solve for x
    x = 40,132,108.92/7,222.59
  6. Step 6: Final answer
    x = 5,556.47

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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.