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Finding the Fourth Proportional to 11,443.36, 15,783.24 and 7,670.78

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Solution

The fourth proportional to 11,443.36, 15,783.24 and 7,670.78 is: 10,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.36 : 15,783.24 = 7,670.78 : x
  2. Step 2: Convert to fraction form
    11,443.36/15,783.24 = 7,670.78/x
  3. Step 3: Cross multiply
    11,443.36x = 15,783.24 × 7,670.78
  4. Step 4: Simplify right side
    11,443.36x = 121,069,761.73
  5. Step 5: Solve for x
    x = 121,069,761.73/11,443.36
  6. Step 6: Final answer
    x = 10,579.91

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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.