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Finding the Fourth Proportional to 10,607.90, 14,638.90 and 5,892.18

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Solution

The fourth proportional to 10,607.90, 14,638.90 and 5,892.18 is: 8,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.90 : 14,638.90 = 5,892.18 : x
  2. Step 2: Convert to fraction form
    10,607.90/14,638.90 = 5,892.18/x
  3. Step 3: Cross multiply
    10,607.90x = 14,638.90 × 5,892.18
  4. Step 4: Simplify right side
    10,607.90x = 86,255,033.80
  5. Step 5: Solve for x
    x = 86,255,033.80/10,607.90
  6. Step 6: Final answer
    x = 8,131.21

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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.