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Finding the Fourth Proportional to 7,802.78, 11,709.23 and 4,882.73

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Solution

The fourth proportional to 7,802.78, 11,709.23 and 4,882.73 is: 7,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.78 : 11,709.23 = 4,882.73 : x
  2. Step 2: Convert to fraction form
    7,802.78/11,709.23 = 4,882.73/x
  3. Step 3: Cross multiply
    7,802.78x = 11,709.23 × 4,882.73
  4. Step 4: Simplify right side
    7,802.78x = 57,172,925.64
  5. Step 5: Solve for x
    x = 57,172,925.64/7,802.78
  6. Step 6: Final answer
    x = 7,327.26

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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.