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Finding the Fourth Proportional to 10,778.58, 16,162.38 and 4,930.16

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Solution

The fourth proportional to 10,778.58, 16,162.38 and 4,930.16 is: 7,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.58 : 16,162.38 = 4,930.16 : x
  2. Step 2: Convert to fraction form
    10,778.58/16,162.38 = 4,930.16/x
  3. Step 3: Cross multiply
    10,778.58x = 16,162.38 × 4,930.16
  4. Step 4: Simplify right side
    10,778.58x = 79,683,038.57
  5. Step 5: Solve for x
    x = 79,683,038.57/10,778.58
  6. Step 6: Final answer
    x = 7,392.72

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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.