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Finding the Fourth Proportional to 6,875.96, 10,317.65 and 2,980.67

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Solution

The fourth proportional to 6,875.96, 10,317.65 and 2,980.67 is: 4,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.96 : 10,317.65 = 2,980.67 : x
  2. Step 2: Convert to fraction form
    6,875.96/10,317.65 = 2,980.67/x
  3. Step 3: Cross multiply
    6,875.96x = 10,317.65 × 2,980.67
  4. Step 4: Simplify right side
    6,875.96x = 30,753,443.33
  5. Step 5: Solve for x
    x = 30,753,443.33/6,875.96
  6. Step 6: Final answer
    x = 4,472.61

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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.