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Finding the Fourth Proportional to 6,856.58, 10,282.34 and 3,345.57

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Solution

The fourth proportional to 6,856.58, 10,282.34 and 3,345.57 is: 5,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.58 : 10,282.34 = 3,345.57 : x
  2. Step 2: Convert to fraction form
    6,856.58/10,282.34 = 3,345.57/x
  3. Step 3: Cross multiply
    6,856.58x = 10,282.34 × 3,345.57
  4. Step 4: Simplify right side
    6,856.58x = 34,400,296.60
  5. Step 5: Solve for x
    x = 34,400,296.60/6,856.58
  6. Step 6: Final answer
    x = 5,017.12

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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.