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Finding the Fourth Proportional to 7,798.23, 10,765.58 and 5,442.75

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Solution

The fourth proportional to 7,798.23, 10,765.58 and 5,442.75 is: 7,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.23 : 10,765.58 = 5,442.75 : x
  2. Step 2: Convert to fraction form
    7,798.23/10,765.58 = 5,442.75/x
  3. Step 3: Cross multiply
    7,798.23x = 10,765.58 × 5,442.75
  4. Step 4: Simplify right side
    7,798.23x = 58,594,333.33
  5. Step 5: Solve for x
    x = 58,594,333.33/7,798.23
  6. Step 6: Final answer
    x = 7,513.80

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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.