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Finding the Fourth Proportional to 10,707.05, 14,775.74 and 5,991.32

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Solution

The fourth proportional to 10,707.05, 14,775.74 and 5,991.32 is: 8,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.05 : 14,775.74 = 5,991.32 : x
  2. Step 2: Convert to fraction form
    10,707.05/14,775.74 = 5,991.32/x
  3. Step 3: Cross multiply
    10,707.05x = 14,775.74 × 5,991.32
  4. Step 4: Simplify right side
    10,707.05x = 88,526,186.58
  5. Step 5: Solve for x
    x = 88,526,186.58/10,707.05
  6. Step 6: Final answer
    x = 8,268.03

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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.