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Finding the Fourth Proportional to 11,780.49, 16,256.86 and 6,475.30

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Solution

The fourth proportional to 11,780.49, 16,256.86 and 6,475.30 is: 8,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.49 : 16,256.86 = 6,475.30 : x
  2. Step 2: Convert to fraction form
    11,780.49/16,256.86 = 6,475.30/x
  3. Step 3: Cross multiply
    11,780.49x = 16,256.86 × 6,475.30
  4. Step 4: Simplify right side
    11,780.49x = 105,268,045.56
  5. Step 5: Solve for x
    x = 105,268,045.56/11,780.49
  6. Step 6: Final answer
    x = 8,935.80

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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.