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Finding the Fourth Proportional to 10,405.69, 14,358.86 and 5,929.33

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Solution

The fourth proportional to 10,405.69, 14,358.86 and 5,929.33 is: 8,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.69 : 14,358.86 = 5,929.33 : x
  2. Step 2: Convert to fraction form
    10,405.69/14,358.86 = 5,929.33/x
  3. Step 3: Cross multiply
    10,405.69x = 14,358.86 × 5,929.33
  4. Step 4: Simplify right side
    10,405.69x = 85,138,419.36
  5. Step 5: Solve for x
    x = 85,138,419.36/10,405.69
  6. Step 6: Final answer
    x = 8,181.91

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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.