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Finding the Fourth Proportional to 7,768.58, 11,650.03 and 2,836.76

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Solution

The fourth proportional to 7,768.58, 11,650.03 and 2,836.76 is: 4,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.58 : 11,650.03 = 2,836.76 : x
  2. Step 2: Convert to fraction form
    7,768.58/11,650.03 = 2,836.76/x
  3. Step 3: Cross multiply
    7,768.58x = 11,650.03 × 2,836.76
  4. Step 4: Simplify right side
    7,768.58x = 33,048,339.10
  5. Step 5: Solve for x
    x = 33,048,339.10/7,768.58
  6. Step 6: Final answer
    x = 4,254.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.