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Finding the Fourth Proportional to 7,852, 10,836.16 and 4,708.40

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Solution

The fourth proportional to 7,852, 10,836.16 and 4,708.40 is: 6,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852 : 10,836.16 = 4,708.40 : x
  2. Step 2: Convert to fraction form
    7,852/10,836.16 = 4,708.40/x
  3. Step 3: Cross multiply
    7,852x = 10,836.16 × 4,708.40
  4. Step 4: Simplify right side
    7,852x = 51,020,975.74
  5. Step 5: Solve for x
    x = 51,020,975.74/7,852
  6. Step 6: Final answer
    x = 6,497.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.