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Finding the Fourth Proportional to 7,782.78, 10,740.42 and 4,246.32

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Solution

The fourth proportional to 7,782.78, 10,740.42 and 4,246.32 is: 5,860.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.78 : 10,740.42 = 4,246.32 : x
  2. Step 2: Convert to fraction form
    7,782.78/10,740.42 = 4,246.32/x
  3. Step 3: Cross multiply
    7,782.78x = 10,740.42 × 4,246.32
  4. Step 4: Simplify right side
    7,782.78x = 45,607,260.25
  5. Step 5: Solve for x
    x = 45,607,260.25/7,782.78
  6. Step 6: Final answer
    x = 5,860.02

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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.