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Finding the Fourth Proportional to 4,775.58, 7,163.37 and 4,666.23

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Solution

The fourth proportional to 4,775.58, 7,163.37 and 4,666.23 is: 6,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.58 : 7,163.37 = 4,666.23 : x
  2. Step 2: Convert to fraction form
    4,775.58/7,163.37 = 4,666.23/x
  3. Step 3: Cross multiply
    4,775.58x = 7,163.37 × 4,666.23
  4. Step 4: Simplify right side
    4,775.58x = 33,425,932.00
  5. Step 5: Solve for x
    x = 33,425,932.00/4,775.58
  6. Step 6: Final answer
    x = 6,999.35

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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.