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Finding the Fourth Proportional to 10,730.36, 16,095 and 2,939.18

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Solution

The fourth proportional to 10,730.36, 16,095 and 2,939.18 is: 4,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.36 : 16,095 = 2,939.18 : x
  2. Step 2: Convert to fraction form
    10,730.36/16,095 = 2,939.18/x
  3. Step 3: Cross multiply
    10,730.36x = 16,095 × 2,939.18
  4. Step 4: Simplify right side
    10,730.36x = 47,306,102.10
  5. Step 5: Solve for x
    x = 47,306,102.10/10,730.36
  6. Step 6: Final answer
    x = 4,408.62

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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.