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Finding the Fourth Proportional to 10,081.86, 13,913.06 and 5,544.63

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Solution

The fourth proportional to 10,081.86, 13,913.06 and 5,544.63 is: 7,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.86 : 13,913.06 = 5,544.63 : x
  2. Step 2: Convert to fraction form
    10,081.86/13,913.06 = 5,544.63/x
  3. Step 3: Cross multiply
    10,081.86x = 13,913.06 × 5,544.63
  4. Step 4: Simplify right side
    10,081.86x = 77,142,742.14
  5. Step 5: Solve for x
    x = 77,142,742.14/10,081.86
  6. Step 6: Final answer
    x = 7,651.64

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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.