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Finding the Fourth Proportional to 10,559.64, 14,572.08 and 5,843.94

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Solution

The fourth proportional to 10,559.64, 14,572.08 and 5,843.94 is: 8,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.64 : 14,572.08 = 5,843.94 : x
  2. Step 2: Convert to fraction form
    10,559.64/14,572.08 = 5,843.94/x
  3. Step 3: Cross multiply
    10,559.64x = 14,572.08 × 5,843.94
  4. Step 4: Simplify right side
    10,559.64x = 85,158,361.20
  5. Step 5: Solve for x
    x = 85,158,361.20/10,559.64
  6. Step 6: Final answer
    x = 8,064.51

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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.