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Finding the Fourth Proportional to 12,152.78, 16,770.84 and 6,563.78

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Solution

The fourth proportional to 12,152.78, 16,770.84 and 6,563.78 is: 9,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.78 : 16,770.84 = 6,563.78 : x
  2. Step 2: Convert to fraction form
    12,152.78/16,770.84 = 6,563.78/x
  3. Step 3: Cross multiply
    12,152.78x = 16,770.84 × 6,563.78
  4. Step 4: Simplify right side
    12,152.78x = 110,080,095.52
  5. Step 5: Solve for x
    x = 110,080,095.52/12,152.78
  6. Step 6: Final answer
    x = 9,058.02

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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.