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Finding the Fourth Proportional to 7,777.35, 11,666.03 and 4,666.95

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Solution

The fourth proportional to 7,777.35, 11,666.03 and 4,666.95 is: 7,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.35 : 11,666.03 = 4,666.95 : x
  2. Step 2: Convert to fraction form
    7,777.35/11,666.03 = 4,666.95/x
  3. Step 3: Cross multiply
    7,777.35x = 11,666.03 × 4,666.95
  4. Step 4: Simplify right side
    7,777.35x = 54,444,755.37
  5. Step 5: Solve for x
    x = 54,444,755.37/7,777.35
  6. Step 6: Final answer
    x = 7,000.43

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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.