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Finding the Fourth Proportional to 8,902.70, 13,336.16 and 4,152.14

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Solution

The fourth proportional to 8,902.70, 13,336.16 and 4,152.14 is: 6,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.70 : 13,336.16 = 4,152.14 : x
  2. Step 2: Convert to fraction form
    8,902.70/13,336.16 = 4,152.14/x
  3. Step 3: Cross multiply
    8,902.70x = 13,336.16 × 4,152.14
  4. Step 4: Simplify right side
    8,902.70x = 55,373,603.38
  5. Step 5: Solve for x
    x = 55,373,603.38/8,902.70
  6. Step 6: Final answer
    x = 6,219.87

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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.