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Finding the Fourth Proportional to 11,054.86, 15,250 and 6,855.82

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Solution

The fourth proportional to 11,054.86, 15,250 and 6,855.82 is: 9,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.86 : 15,250 = 6,855.82 : x
  2. Step 2: Convert to fraction form
    11,054.86/15,250 = 6,855.82/x
  3. Step 3: Cross multiply
    11,054.86x = 15,250 × 6,855.82
  4. Step 4: Simplify right side
    11,054.86x = 104,551,255
  5. Step 5: Solve for x
    x = 104,551,255/11,054.86
  6. Step 6: Final answer
    x = 9,457.49

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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.