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Finding the Fourth Proportional to 7,537.77, 10,390.14 and 5,941.83

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Solution

The fourth proportional to 7,537.77, 10,390.14 and 5,941.83 is: 8,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.77 : 10,390.14 = 5,941.83 : x
  2. Step 2: Convert to fraction form
    7,537.77/10,390.14 = 5,941.83/x
  3. Step 3: Cross multiply
    7,537.77x = 10,390.14 × 5,941.83
  4. Step 4: Simplify right side
    7,537.77x = 61,736,445.56
  5. Step 5: Solve for x
    x = 61,736,445.56/7,537.77
  6. Step 6: Final answer
    x = 8,190.28

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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.