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Finding the Fourth Proportional to 11,780.32, 16,256.10 and 6,474.64

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Solution

The fourth proportional to 11,780.32, 16,256.10 and 6,474.64 is: 8,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.32 : 16,256.10 = 6,474.64 : x
  2. Step 2: Convert to fraction form
    11,780.32/16,256.10 = 6,474.64/x
  3. Step 3: Cross multiply
    11,780.32x = 16,256.10 × 6,474.64
  4. Step 4: Simplify right side
    11,780.32x = 105,252,395.30
  5. Step 5: Solve for x
    x = 105,252,395.30/11,780.32
  6. Step 6: Final answer
    x = 8,934.60

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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.