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Finding the Fourth Proportional to 8,645, 11,930.91 and 4,919

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Solution

The fourth proportional to 8,645, 11,930.91 and 4,919 is: 6,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645 : 11,930.91 = 4,919 : x
  2. Step 2: Convert to fraction form
    8,645/11,930.91 = 4,919/x
  3. Step 3: Cross multiply
    8,645x = 11,930.91 × 4,919
  4. Step 4: Simplify right side
    8,645x = 58,688,146.29
  5. Step 5: Solve for x
    x = 58,688,146.29/8,645
  6. Step 6: Final answer
    x = 6,788.68

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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.