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Finding the Fourth Proportional to 11,780.76, 16,256.94 and 6,475.26

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Solution

The fourth proportional to 11,780.76, 16,256.94 and 6,475.26 is: 8,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.76 : 16,256.94 = 6,475.26 : x
  2. Step 2: Convert to fraction form
    11,780.76/16,256.94 = 6,475.26/x
  3. Step 3: Cross multiply
    11,780.76x = 16,256.94 × 6,475.26
  4. Step 4: Simplify right side
    11,780.76x = 105,267,913.30
  5. Step 5: Solve for x
    x = 105,267,913.30/11,780.76
  6. Step 6: Final answer
    x = 8,935.58

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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.