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Finding the Fourth Proportional to 7,544.76, 10,411.38 and 5,187.12

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Solution

The fourth proportional to 7,544.76, 10,411.38 and 5,187.12 is: 7,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.76 : 10,411.38 = 5,187.12 : x
  2. Step 2: Convert to fraction form
    7,544.76/10,411.38 = 5,187.12/x
  3. Step 3: Cross multiply
    7,544.76x = 10,411.38 × 5,187.12
  4. Step 4: Simplify right side
    7,544.76x = 54,005,077.43
  5. Step 5: Solve for x
    x = 54,005,077.43/7,544.76
  6. Step 6: Final answer
    x = 7,157.96

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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.