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Finding the Fourth Proportional to 10,756, 14,844.24 and 6,040.48

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Solution

The fourth proportional to 10,756, 14,844.24 and 6,040.48 is: 8,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756 : 14,844.24 = 6,040.48 : x
  2. Step 2: Convert to fraction form
    10,756/14,844.24 = 6,040.48/x
  3. Step 3: Cross multiply
    10,756x = 14,844.24 × 6,040.48
  4. Step 4: Simplify right side
    10,756x = 89,666,334.84
  5. Step 5: Solve for x
    x = 89,666,334.84/10,756
  6. Step 6: Final answer
    x = 8,336.40

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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.