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Finding the Fourth Proportional to 10,405.45, 14,357.91 and 5,929.39

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Solution

The fourth proportional to 10,405.45, 14,357.91 and 5,929.39 is: 8,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.45 : 14,357.91 = 5,929.39 : x
  2. Step 2: Convert to fraction form
    10,405.45/14,357.91 = 5,929.39/x
  3. Step 3: Cross multiply
    10,405.45x = 14,357.91 × 5,929.39
  4. Step 4: Simplify right side
    10,405.45x = 85,133,647.97
  5. Step 5: Solve for x
    x = 85,133,647.97/10,405.45
  6. Step 6: Final answer
    x = 8,181.64

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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.