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Finding the Fourth Proportional to 10,638.95, 14,679.63 and 5,922.32

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Solution

The fourth proportional to 10,638.95, 14,679.63 and 5,922.32 is: 8,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.95 : 14,679.63 = 5,922.32 : x
  2. Step 2: Convert to fraction form
    10,638.95/14,679.63 = 5,922.32/x
  3. Step 3: Cross multiply
    10,638.95x = 14,679.63 × 5,922.32
  4. Step 4: Simplify right side
    10,638.95x = 86,937,392.94
  5. Step 5: Solve for x
    x = 86,937,392.94/10,638.95
  6. Step 6: Final answer
    x = 8,171.62

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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.