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Finding the Fourth Proportional to 10,494.23, 15,741.04 and 4,944.41

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Solution

The fourth proportional to 10,494.23, 15,741.04 and 4,944.41 is: 7,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.23 : 15,741.04 = 4,944.41 : x
  2. Step 2: Convert to fraction form
    10,494.23/15,741.04 = 4,944.41/x
  3. Step 3: Cross multiply
    10,494.23x = 15,741.04 × 4,944.41
  4. Step 4: Simplify right side
    10,494.23x = 77,830,155.59
  5. Step 5: Solve for x
    x = 77,830,155.59/10,494.23
  6. Step 6: Final answer
    x = 7,416.47

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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.