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Finding the Fourth Proportional to 5,766.14, 8,659.65 and 5,303.09

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Solution

The fourth proportional to 5,766.14, 8,659.65 and 5,303.09 is: 7,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.14 : 8,659.65 = 5,303.09 : x
  2. Step 2: Convert to fraction form
    5,766.14/8,659.65 = 5,303.09/x
  3. Step 3: Cross multiply
    5,766.14x = 8,659.65 × 5,303.09
  4. Step 4: Simplify right side
    5,766.14x = 45,922,903.32
  5. Step 5: Solve for x
    x = 45,922,903.32/5,766.14
  6. Step 6: Final answer
    x = 7,964.24

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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.