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Finding the Fourth Proportional to 10,632.14, 14,671.73 and 5,851.26

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Solution

The fourth proportional to 10,632.14, 14,671.73 and 5,851.26 is: 8,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.14 : 14,671.73 = 5,851.26 : x
  2. Step 2: Convert to fraction form
    10,632.14/14,671.73 = 5,851.26/x
  3. Step 3: Cross multiply
    10,632.14x = 14,671.73 × 5,851.26
  4. Step 4: Simplify right side
    10,632.14x = 85,848,077.62
  5. Step 5: Solve for x
    x = 85,848,077.62/10,632.14
  6. Step 6: Final answer
    x = 8,074.40

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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.