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Finding the Fourth Proportional to 7,544.53, 10,411.43 and 4,187.38

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Solution

The fourth proportional to 7,544.53, 10,411.43 and 4,187.38 is: 5,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.53 : 10,411.43 = 4,187.38 : x
  2. Step 2: Convert to fraction form
    7,544.53/10,411.43 = 4,187.38/x
  3. Step 3: Cross multiply
    7,544.53x = 10,411.43 × 4,187.38
  4. Step 4: Simplify right side
    7,544.53x = 43,596,566.79
  5. Step 5: Solve for x
    x = 43,596,566.79/7,544.53
  6. Step 6: Final answer
    x = 5,778.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.