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Finding the Fourth Proportional to 7,678.88, 11,521.56 and 3,783.32

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Solution

The fourth proportional to 7,678.88, 11,521.56 and 3,783.32 is: 5,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.88 : 11,521.56 = 3,783.32 : x
  2. Step 2: Convert to fraction form
    7,678.88/11,521.56 = 3,783.32/x
  3. Step 3: Cross multiply
    7,678.88x = 11,521.56 × 3,783.32
  4. Step 4: Simplify right side
    7,678.88x = 43,589,748.38
  5. Step 5: Solve for x
    x = 43,589,748.38/7,678.88
  6. Step 6: Final answer
    x = 5,676.58

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