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Finding the Fourth Proportional to 10,592.90, 14,584.97 and 8,996.22

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Solution

The fourth proportional to 10,592.90, 14,584.97 and 8,996.22 is: 12,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.90 : 14,584.97 = 8,996.22 : x
  2. Step 2: Convert to fraction form
    10,592.90/14,584.97 = 8,996.22/x
  3. Step 3: Cross multiply
    10,592.90x = 14,584.97 × 8,996.22
  4. Step 4: Simplify right side
    10,592.90x = 131,209,598.81
  5. Step 5: Solve for x
    x = 131,209,598.81/10,592.90
  6. Step 6: Final answer
    x = 12,386.56

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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.