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Finding the Fourth Proportional to 7,537.71, 10,390.02 and 5,941.76

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Solution

The fourth proportional to 7,537.71, 10,390.02 and 5,941.76 is: 8,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.71 : 10,390.02 = 5,941.76 : x
  2. Step 2: Convert to fraction form
    7,537.71/10,390.02 = 5,941.76/x
  3. Step 3: Cross multiply
    7,537.71x = 10,390.02 × 5,941.76
  4. Step 4: Simplify right side
    7,537.71x = 61,734,964.43
  5. Step 5: Solve for x
    x = 61,734,964.43/7,537.71
  6. Step 6: Final answer
    x = 8,190.15

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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.