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Finding the Fourth Proportional to 8,470.08, 11,692.80 and 5,642.22

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Solution

The fourth proportional to 8,470.08, 11,692.80 and 5,642.22 is: 7,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.08 : 11,692.80 = 5,642.22 : x
  2. Step 2: Convert to fraction form
    8,470.08/11,692.80 = 5,642.22/x
  3. Step 3: Cross multiply
    8,470.08x = 11,692.80 × 5,642.22
  4. Step 4: Simplify right side
    8,470.08x = 65,973,350.02
  5. Step 5: Solve for x
    x = 65,973,350.02/8,470.08
  6. Step 6: Final answer
    x = 7,788.99

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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.