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Finding the Fourth Proportional to 7,832.50, 10,810.13 and 4,522.42

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Solution

The fourth proportional to 7,832.50, 10,810.13 and 4,522.42 is: 6,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.50 : 10,810.13 = 4,522.42 : x
  2. Step 2: Convert to fraction form
    7,832.50/10,810.13 = 4,522.42/x
  3. Step 3: Cross multiply
    7,832.50x = 10,810.13 × 4,522.42
  4. Step 4: Simplify right side
    7,832.50x = 48,887,948.11
  5. Step 5: Solve for x
    x = 48,887,948.11/7,832.50
  6. Step 6: Final answer
    x = 6,241.68

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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.