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Finding the Fourth Proportional to 10,239.16, 14,130.10 and 5,763

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Solution

The fourth proportional to 10,239.16, 14,130.10 and 5,763 is: 7,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.16 : 14,130.10 = 5,763 : x
  2. Step 2: Convert to fraction form
    10,239.16/14,130.10 = 5,763/x
  3. Step 3: Cross multiply
    10,239.16x = 14,130.10 × 5,763
  4. Step 4: Simplify right side
    10,239.16x = 81,431,766.30
  5. Step 5: Solve for x
    x = 81,431,766.30/10,239.16
  6. Step 6: Final answer
    x = 7,952.97

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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.