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Finding the Fourth Proportional to 10,607.62, 14,638.98 and 5,892.34

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Solution

The fourth proportional to 10,607.62, 14,638.98 and 5,892.34 is: 8,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.62 : 14,638.98 = 5,892.34 : x
  2. Step 2: Convert to fraction form
    10,607.62/14,638.98 = 5,892.34/x
  3. Step 3: Cross multiply
    10,607.62x = 14,638.98 × 5,892.34
  4. Step 4: Simplify right side
    10,607.62x = 86,257,847.41
  5. Step 5: Solve for x
    x = 86,257,847.41/10,607.62
  6. Step 6: Final answer
    x = 8,131.69

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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.