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Finding the Fourth Proportional to 10,411.66, 14,365.79 and 6,379.34

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Solution

The fourth proportional to 10,411.66, 14,365.79 and 6,379.34 is: 8,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.66 : 14,365.79 = 6,379.34 : x
  2. Step 2: Convert to fraction form
    10,411.66/14,365.79 = 6,379.34/x
  3. Step 3: Cross multiply
    10,411.66x = 14,365.79 × 6,379.34
  4. Step 4: Simplify right side
    10,411.66x = 91,644,258.78
  5. Step 5: Solve for x
    x = 91,644,258.78/10,411.66
  6. Step 6: Final answer
    x = 8,802.08

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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.