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Finding the Fourth Proportional to 6,465.51, 8,923.82 and 4,107.20

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Solution

The fourth proportional to 6,465.51, 8,923.82 and 4,107.20 is: 5,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.51 : 8,923.82 = 4,107.20 : x
  2. Step 2: Convert to fraction form
    6,465.51/8,923.82 = 4,107.20/x
  3. Step 3: Cross multiply
    6,465.51x = 8,923.82 × 4,107.20
  4. Step 4: Simplify right side
    6,465.51x = 36,651,848.35
  5. Step 5: Solve for x
    x = 36,651,848.35/6,465.51
  6. Step 6: Final answer
    x = 5,668.83

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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.