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Finding the Fourth Proportional to 7,541.16, 10,407.05 and 4,183.71

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Solution

The fourth proportional to 7,541.16, 10,407.05 and 4,183.71 is: 5,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.16 : 10,407.05 = 4,183.71 : x
  2. Step 2: Convert to fraction form
    7,541.16/10,407.05 = 4,183.71/x
  3. Step 3: Cross multiply
    7,541.16x = 10,407.05 × 4,183.71
  4. Step 4: Simplify right side
    7,541.16x = 43,540,079.16
  5. Step 5: Solve for x
    x = 43,540,079.16/7,541.16
  6. Step 6: Final answer
    x = 5,773.66

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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.