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Finding the Fourth Proportional to 10,844.52, 14,965.05 and 6,128.70

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Solution

The fourth proportional to 10,844.52, 14,965.05 and 6,128.70 is: 8,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.52 : 14,965.05 = 6,128.70 : x
  2. Step 2: Convert to fraction form
    10,844.52/14,965.05 = 6,128.70/x
  3. Step 3: Cross multiply
    10,844.52x = 14,965.05 × 6,128.70
  4. Step 4: Simplify right side
    10,844.52x = 91,716,301.94
  5. Step 5: Solve for x
    x = 91,716,301.94/10,844.52
  6. Step 6: Final answer
    x = 8,457.39

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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.