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Finding the Fourth Proportional to 10,522.31, 14,520.74 and 5,742.23

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Solution

The fourth proportional to 10,522.31, 14,520.74 and 5,742.23 is: 7,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.31 : 14,520.74 = 5,742.23 : x
  2. Step 2: Convert to fraction form
    10,522.31/14,520.74 = 5,742.23/x
  3. Step 3: Cross multiply
    10,522.31x = 14,520.74 × 5,742.23
  4. Step 4: Simplify right side
    10,522.31x = 83,381,327.54
  5. Step 5: Solve for x
    x = 83,381,327.54/10,522.31
  6. Step 6: Final answer
    x = 7,924.25

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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.