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Finding the Fourth Proportional to 6,869.40, 10,293.44 and 4,765.14

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Solution

The fourth proportional to 6,869.40, 10,293.44 and 4,765.14 is: 7,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.40 : 10,293.44 = 4,765.14 : x
  2. Step 2: Convert to fraction form
    6,869.40/10,293.44 = 4,765.14/x
  3. Step 3: Cross multiply
    6,869.40x = 10,293.44 × 4,765.14
  4. Step 4: Simplify right side
    6,869.40x = 49,049,631.21
  5. Step 5: Solve for x
    x = 49,049,631.21/6,869.40
  6. Step 6: Final answer
    x = 7,140.31

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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.