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Finding the Fourth Proportional to 7,117.69, 10,676.68 and 2,443.08

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Solution

The fourth proportional to 7,117.69, 10,676.68 and 2,443.08 is: 3,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.69 : 10,676.68 = 2,443.08 : x
  2. Step 2: Convert to fraction form
    7,117.69/10,676.68 = 2,443.08/x
  3. Step 3: Cross multiply
    7,117.69x = 10,676.68 × 2,443.08
  4. Step 4: Simplify right side
    7,117.69x = 26,083,957.25
  5. Step 5: Solve for x
    x = 26,083,957.25/7,117.69
  6. Step 6: Final answer
    x = 3,664.67

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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.