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Finding the Fourth Proportional to 7,783.58, 11,670.89 and 5,321.39

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Solution

The fourth proportional to 7,783.58, 11,670.89 and 5,321.39 is: 7,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.58 : 11,670.89 = 5,321.39 : x
  2. Step 2: Convert to fraction form
    7,783.58/11,670.89 = 5,321.39/x
  3. Step 3: Cross multiply
    7,783.58x = 11,670.89 × 5,321.39
  4. Step 4: Simplify right side
    7,783.58x = 62,105,272.38
  5. Step 5: Solve for x
    x = 62,105,272.38/7,783.58
  6. Step 6: Final answer
    x = 7,979.01

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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.