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Finding the Fourth Proportional to 10,559.16, 14,572.38 and 5,843.64

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Solution

The fourth proportional to 10,559.16, 14,572.38 and 5,843.64 is: 8,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.16 : 14,572.38 = 5,843.64 : x
  2. Step 2: Convert to fraction form
    10,559.16/14,572.38 = 5,843.64/x
  3. Step 3: Cross multiply
    10,559.16x = 14,572.38 × 5,843.64
  4. Step 4: Simplify right side
    10,559.16x = 85,155,742.66
  5. Step 5: Solve for x
    x = 85,155,742.66/10,559.16
  6. Step 6: Final answer
    x = 8,064.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.