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Finding the Fourth Proportional to 7,735.06, 11,602.05 and 2,803.78

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Solution

The fourth proportional to 7,735.06, 11,602.05 and 2,803.78 is: 4,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.06 : 11,602.05 = 2,803.78 : x
  2. Step 2: Convert to fraction form
    7,735.06/11,602.05 = 2,803.78/x
  3. Step 3: Cross multiply
    7,735.06x = 11,602.05 × 2,803.78
  4. Step 4: Simplify right side
    7,735.06x = 32,529,595.75
  5. Step 5: Solve for x
    x = 32,529,595.75/7,735.06
  6. Step 6: Final answer
    x = 4,205.47

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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.