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Finding the Fourth Proportional to 7,101.37, 9,790.77 and 5,820.53

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Solution

The fourth proportional to 7,101.37, 9,790.77 and 5,820.53 is: 8,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.37 : 9,790.77 = 5,820.53 : x
  2. Step 2: Convert to fraction form
    7,101.37/9,790.77 = 5,820.53/x
  3. Step 3: Cross multiply
    7,101.37x = 9,790.77 × 5,820.53
  4. Step 4: Simplify right side
    7,101.37x = 56,987,516.81
  5. Step 5: Solve for x
    x = 56,987,516.81/7,101.37
  6. Step 6: Final answer
    x = 8,024.87

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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.