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Finding the Fourth Proportional to 7,841.34, 10,822.14 and 4,858.02

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Solution

The fourth proportional to 7,841.34, 10,822.14 and 4,858.02 is: 6,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.34 : 10,822.14 = 4,858.02 : x
  2. Step 2: Convert to fraction form
    7,841.34/10,822.14 = 4,858.02/x
  3. Step 3: Cross multiply
    7,841.34x = 10,822.14 × 4,858.02
  4. Step 4: Simplify right side
    7,841.34x = 52,574,172.56
  5. Step 5: Solve for x
    x = 52,574,172.56/7,841.34
  6. Step 6: Final answer
    x = 6,704.74

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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.