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Finding the Fourth Proportional to 10,586.44, 15,879.02 and 4,741.48

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Solution

The fourth proportional to 10,586.44, 15,879.02 and 4,741.48 is: 7,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.44 : 15,879.02 = 4,741.48 : x
  2. Step 2: Convert to fraction form
    10,586.44/15,879.02 = 4,741.48/x
  3. Step 3: Cross multiply
    10,586.44x = 15,879.02 × 4,741.48
  4. Step 4: Simplify right side
    10,586.44x = 75,290,055.75
  5. Step 5: Solve for x
    x = 75,290,055.75/10,586.44
  6. Step 6: Final answer
    x = 7,111.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.