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Finding the Fourth Proportional to 12,264.84, 16,911.72 and 7,782.84

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Solution

The fourth proportional to 12,264.84, 16,911.72 and 7,782.84 is: 10,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.84 : 16,911.72 = 7,782.84 : x
  2. Step 2: Convert to fraction form
    12,264.84/16,911.72 = 7,782.84/x
  3. Step 3: Cross multiply
    12,264.84x = 16,911.72 × 7,782.84
  4. Step 4: Simplify right side
    12,264.84x = 131,621,210.88
  5. Step 5: Solve for x
    x = 131,621,210.88/12,264.84
  6. Step 6: Final answer
    x = 10,731.59

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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.