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Finding the Fourth Proportional to 7,798.25, 10,765.11 and 4,969.50

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Solution

The fourth proportional to 7,798.25, 10,765.11 and 4,969.50 is: 6,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.25 : 10,765.11 = 4,969.50 : x
  2. Step 2: Convert to fraction form
    7,798.25/10,765.11 = 4,969.50/x
  3. Step 3: Cross multiply
    7,798.25x = 10,765.11 × 4,969.50
  4. Step 4: Simplify right side
    7,798.25x = 53,497,214.15
  5. Step 5: Solve for x
    x = 53,497,214.15/7,798.25
  6. Step 6: Final answer
    x = 6,860.16

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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.