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Finding the Fourth Proportional to 7,770.66, 11,655.69 and 3,090.48

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Solution

The fourth proportional to 7,770.66, 11,655.69 and 3,090.48 is: 4,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.66 : 11,655.69 = 3,090.48 : x
  2. Step 2: Convert to fraction form
    7,770.66/11,655.69 = 3,090.48/x
  3. Step 3: Cross multiply
    7,770.66x = 11,655.69 × 3,090.48
  4. Step 4: Simplify right side
    7,770.66x = 36,021,676.83
  5. Step 5: Solve for x
    x = 36,021,676.83/7,770.66
  6. Step 6: Final answer
    x = 4,635.60

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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.