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Finding the Fourth Proportional to 10,405.14, 14,358.48 and 5,928.26

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Solution

The fourth proportional to 10,405.14, 14,358.48 and 5,928.26 is: 8,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.14 : 14,358.48 = 5,928.26 : x
  2. Step 2: Convert to fraction form
    10,405.14/14,358.48 = 5,928.26/x
  3. Step 3: Cross multiply
    10,405.14x = 14,358.48 × 5,928.26
  4. Step 4: Simplify right side
    10,405.14x = 85,120,802.64
  5. Step 5: Solve for x
    x = 85,120,802.64/10,405.14
  6. Step 6: Final answer
    x = 8,180.65

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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.