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Finding the Fourth Proportional to 10,752, 16,127.28 and 2,960.88

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Solution

The fourth proportional to 10,752, 16,127.28 and 2,960.88 is: 4,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752 : 16,127.28 = 2,960.88 : x
  2. Step 2: Convert to fraction form
    10,752/16,127.28 = 2,960.88/x
  3. Step 3: Cross multiply
    10,752x = 16,127.28 × 2,960.88
  4. Step 4: Simplify right side
    10,752x = 47,750,940.81
  5. Step 5: Solve for x
    x = 47,750,940.81/10,752
  6. Step 6: Final answer
    x = 4,441.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.