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Finding the Fourth Proportional to 10,840.69, 14,959.08 and 6,365.54

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Solution

The fourth proportional to 10,840.69, 14,959.08 and 6,365.54 is: 8,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.69 : 14,959.08 = 6,365.54 : x
  2. Step 2: Convert to fraction form
    10,840.69/14,959.08 = 6,365.54/x
  3. Step 3: Cross multiply
    10,840.69x = 14,959.08 × 6,365.54
  4. Step 4: Simplify right side
    10,840.69x = 95,222,575.36
  5. Step 5: Solve for x
    x = 95,222,575.36/10,840.69
  6. Step 6: Final answer
    x = 8,783.81

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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.