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Finding the Fourth Proportional to 11,780.20, 16,256.76 and 6,475.10

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Solution

The fourth proportional to 11,780.20, 16,256.76 and 6,475.10 is: 8,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.20 : 16,256.76 = 6,475.10 : x
  2. Step 2: Convert to fraction form
    11,780.20/16,256.76 = 6,475.10/x
  3. Step 3: Cross multiply
    11,780.20x = 16,256.76 × 6,475.10
  4. Step 4: Simplify right side
    11,780.20x = 105,264,146.68
  5. Step 5: Solve for x
    x = 105,264,146.68/11,780.20
  6. Step 6: Final answer
    x = 8,935.69

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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.