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Finding the Fourth Proportional to 10,034.51, 13,847.73 and 6,054.86

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Solution

The fourth proportional to 10,034.51, 13,847.73 and 6,054.86 is: 8,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.51 : 13,847.73 = 6,054.86 : x
  2. Step 2: Convert to fraction form
    10,034.51/13,847.73 = 6,054.86/x
  3. Step 3: Cross multiply
    10,034.51x = 13,847.73 × 6,054.86
  4. Step 4: Simplify right side
    10,034.51x = 83,846,066.47
  5. Step 5: Solve for x
    x = 83,846,066.47/10,034.51
  6. Step 6: Final answer
    x = 8,355.77

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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.