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Finding the Fourth Proportional to 11,412.78, 15,749.58 and 6,444.78

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Solution

The fourth proportional to 11,412.78, 15,749.58 and 6,444.78 is: 8,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.78 : 15,749.58 = 6,444.78 : x
  2. Step 2: Convert to fraction form
    11,412.78/15,749.58 = 6,444.78/x
  3. Step 3: Cross multiply
    11,412.78x = 15,749.58 × 6,444.78
  4. Step 4: Simplify right side
    11,412.78x = 101,502,578.19
  5. Step 5: Solve for x
    x = 101,502,578.19/11,412.78
  6. Step 6: Final answer
    x = 8,893.76

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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.