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Finding the Fourth Proportional to 10,559.32, 14,571.68 and 5,843.60

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Solution

The fourth proportional to 10,559.32, 14,571.68 and 5,843.60 is: 8,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.32 : 14,571.68 = 5,843.60 : x
  2. Step 2: Convert to fraction form
    10,559.32/14,571.68 = 5,843.60/x
  3. Step 3: Cross multiply
    10,559.32x = 14,571.68 × 5,843.60
  4. Step 4: Simplify right side
    10,559.32x = 85,151,069.25
  5. Step 5: Solve for x
    x = 85,151,069.25/10,559.32
  6. Step 6: Final answer
    x = 8,064.07

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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.