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Finding the Fourth Proportional to 10,751.94, 14,837.72 and 6,036.26

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Solution

The fourth proportional to 10,751.94, 14,837.72 and 6,036.26 is: 8,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.94 : 14,837.72 = 6,036.26 : x
  2. Step 2: Convert to fraction form
    10,751.94/14,837.72 = 6,036.26/x
  3. Step 3: Cross multiply
    10,751.94x = 14,837.72 × 6,036.26
  4. Step 4: Simplify right side
    10,751.94x = 89,564,231.36
  5. Step 5: Solve for x
    x = 89,564,231.36/10,751.94
  6. Step 6: Final answer
    x = 8,330.05

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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.