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Finding the Fourth Proportional to 7,902.10, 10,904.46 and 4,917.84

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Solution

The fourth proportional to 7,902.10, 10,904.46 and 4,917.84 is: 6,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.10 : 10,904.46 = 4,917.84 : x
  2. Step 2: Convert to fraction form
    7,902.10/10,904.46 = 4,917.84/x
  3. Step 3: Cross multiply
    7,902.10x = 10,904.46 × 4,917.84
  4. Step 4: Simplify right side
    7,902.10x = 53,626,389.57
  5. Step 5: Solve for x
    x = 53,626,389.57/7,902.10
  6. Step 6: Final answer
    x = 6,786.35

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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.