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Finding the Fourth Proportional to 7,512, 10,364.80 and 4,366.40

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Solution

The fourth proportional to 7,512, 10,364.80 and 4,366.40 is: 6,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512 : 10,364.80 = 4,366.40 : x
  2. Step 2: Convert to fraction form
    7,512/10,364.80 = 4,366.40/x
  3. Step 3: Cross multiply
    7,512x = 10,364.80 × 4,366.40
  4. Step 4: Simplify right side
    7,512x = 45,256,862.72
  5. Step 5: Solve for x
    x = 45,256,862.72/7,512
  6. Step 6: Final answer
    x = 6,024.61

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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.