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Finding the Fourth Proportional to 10,782.52, 16,247.10 and 8,974.10

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Solution

The fourth proportional to 10,782.52, 16,247.10 and 8,974.10 is: 13,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.52 : 16,247.10 = 8,974.10 : x
  2. Step 2: Convert to fraction form
    10,782.52/16,247.10 = 8,974.10/x
  3. Step 3: Cross multiply
    10,782.52x = 16,247.10 × 8,974.10
  4. Step 4: Simplify right side
    10,782.52x = 145,802,985.22
  5. Step 5: Solve for x
    x = 145,802,985.22/10,782.52
  6. Step 6: Final answer
    x = 13,522.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.