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Finding the Fourth Proportional to 7,394.70, 10,205.55 and 5,796.30

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Solution

The fourth proportional to 7,394.70, 10,205.55 and 5,796.30 is: 7,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.70 : 10,205.55 = 5,796.30 : x
  2. Step 2: Convert to fraction form
    7,394.70/10,205.55 = 5,796.30/x
  3. Step 3: Cross multiply
    7,394.70x = 10,205.55 × 5,796.30
  4. Step 4: Simplify right side
    7,394.70x = 59,154,429.47
  5. Step 5: Solve for x
    x = 59,154,429.47/7,394.70
  6. Step 6: Final answer
    x = 7,999.57

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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.