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Finding the Fourth Proportional to 7,107.10, 9,786.90 and 4,866.64

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Solution

The fourth proportional to 7,107.10, 9,786.90 and 4,866.64 is: 6,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.10 : 9,786.90 = 4,866.64 : x
  2. Step 2: Convert to fraction form
    7,107.10/9,786.90 = 4,866.64/x
  3. Step 3: Cross multiply
    7,107.10x = 9,786.90 × 4,866.64
  4. Step 4: Simplify right side
    7,107.10x = 47,629,319.02
  5. Step 5: Solve for x
    x = 47,629,319.02/7,107.10
  6. Step 6: Final answer
    x = 6,701.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.