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Finding the Fourth Proportional to 7,024.93, 10,543.77 and 3,740.78

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Solution

The fourth proportional to 7,024.93, 10,543.77 and 3,740.78 is: 5,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.93 : 10,543.77 = 3,740.78 : x
  2. Step 2: Convert to fraction form
    7,024.93/10,543.77 = 3,740.78/x
  3. Step 3: Cross multiply
    7,024.93x = 10,543.77 × 3,740.78
  4. Step 4: Simplify right side
    7,024.93x = 39,441,950.30
  5. Step 5: Solve for x
    x = 39,441,950.30/7,024.93
  6. Step 6: Final answer
    x = 5,614.57

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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.