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Finding the Fourth Proportional to 7,542.37, 11,262.76 and 6,158.41

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Solution

The fourth proportional to 7,542.37, 11,262.76 and 6,158.41 is: 9,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.37 : 11,262.76 = 6,158.41 : x
  2. Step 2: Convert to fraction form
    7,542.37/11,262.76 = 6,158.41/x
  3. Step 3: Cross multiply
    7,542.37x = 11,262.76 × 6,158.41
  4. Step 4: Simplify right side
    7,542.37x = 69,360,693.81
  5. Step 5: Solve for x
    x = 69,360,693.81/7,542.37
  6. Step 6: Final answer
    x = 9,196.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.