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Finding the Fourth Proportional to 7,512, 10,366.40 and 4,154.64

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Solution

The fourth proportional to 7,512, 10,366.40 and 4,154.64 is: 5,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512 : 10,366.40 = 4,154.64 : x
  2. Step 2: Convert to fraction form
    7,512/10,366.40 = 4,154.64/x
  3. Step 3: Cross multiply
    7,512x = 10,366.40 × 4,154.64
  4. Step 4: Simplify right side
    7,512x = 43,068,660.10
  5. Step 5: Solve for x
    x = 43,068,660.10/7,512
  6. Step 6: Final answer
    x = 5,733.31

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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.