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Finding the Fourth Proportional to 10,036.83, 13,843.10 and 6,053.79

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Solution

The fourth proportional to 10,036.83, 13,843.10 and 6,053.79 is: 8,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.83 : 13,843.10 = 6,053.79 : x
  2. Step 2: Convert to fraction form
    10,036.83/13,843.10 = 6,053.79/x
  3. Step 3: Cross multiply
    10,036.83x = 13,843.10 × 6,053.79
  4. Step 4: Simplify right side
    10,036.83x = 83,803,190.08
  5. Step 5: Solve for x
    x = 83,803,190.08/10,036.83
  6. Step 6: Final answer
    x = 8,349.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.