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Finding the Fourth Proportional to 4,969.63, 7,498.87 and 4,767.31

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Solution

The fourth proportional to 4,969.63, 7,498.87 and 4,767.31 is: 7,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.63 : 7,498.87 = 4,767.31 : x
  2. Step 2: Convert to fraction form
    4,969.63/7,498.87 = 4,767.31/x
  3. Step 3: Cross multiply
    4,969.63x = 7,498.87 × 4,767.31
  4. Step 4: Simplify right side
    4,969.63x = 35,749,437.94
  5. Step 5: Solve for x
    x = 35,749,437.94/4,969.63
  6. Step 6: Final answer
    x = 7,193.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.