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Finding the Fourth Proportional to 10,625.47, 14,662.47 and 5,909.83

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Solution

The fourth proportional to 10,625.47, 14,662.47 and 5,909.83 is: 8,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.47 : 14,662.47 = 5,909.83 : x
  2. Step 2: Convert to fraction form
    10,625.47/14,662.47 = 5,909.83/x
  3. Step 3: Cross multiply
    10,625.47x = 14,662.47 × 5,909.83
  4. Step 4: Simplify right side
    10,625.47x = 86,652,705.08
  5. Step 5: Solve for x
    x = 86,652,705.08/10,625.47
  6. Step 6: Final answer
    x = 8,155.19

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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.