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Finding the Fourth Proportional to 11,376.78, 15,698.54 and 6,340.64

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Solution

The fourth proportional to 11,376.78, 15,698.54 and 6,340.64 is: 8,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.78 : 15,698.54 = 6,340.64 : x
  2. Step 2: Convert to fraction form
    11,376.78/15,698.54 = 6,340.64/x
  3. Step 3: Cross multiply
    11,376.78x = 15,698.54 × 6,340.64
  4. Step 4: Simplify right side
    11,376.78x = 99,538,680.47
  5. Step 5: Solve for x
    x = 99,538,680.47/11,376.78
  6. Step 6: Final answer
    x = 8,749.28

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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.