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Finding the Fourth Proportional to 10,036.96, 13,850.96 and 5,788

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Solution

The fourth proportional to 10,036.96, 13,850.96 and 5,788 is: 7,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.96 : 13,850.96 = 5,788 : x
  2. Step 2: Convert to fraction form
    10,036.96/13,850.96 = 5,788/x
  3. Step 3: Cross multiply
    10,036.96x = 13,850.96 × 5,788
  4. Step 4: Simplify right side
    10,036.96x = 80,169,356.48
  5. Step 5: Solve for x
    x = 80,169,356.48/10,036.96
  6. Step 6: Final answer
    x = 7,987.41

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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.