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Finding the Fourth Proportional to 10,625.64, 14,662.98 and 5,909.16

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Solution

The fourth proportional to 10,625.64, 14,662.98 and 5,909.16 is: 8,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.64 : 14,662.98 = 5,909.16 : x
  2. Step 2: Convert to fraction form
    10,625.64/14,662.98 = 5,909.16/x
  3. Step 3: Cross multiply
    10,625.64x = 14,662.98 × 5,909.16
  4. Step 4: Simplify right side
    10,625.64x = 86,645,894.90
  5. Step 5: Solve for x
    x = 86,645,894.90/10,625.64
  6. Step 6: Final answer
    x = 8,154.42

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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.