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Finding the Fourth Proportional to 7,830.56, 10,820.48 and 5,702.38

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Solution

The fourth proportional to 7,830.56, 10,820.48 and 5,702.38 is: 7,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.56 : 10,820.48 = 5,702.38 : x
  2. Step 2: Convert to fraction form
    7,830.56/10,820.48 = 5,702.38/x
  3. Step 3: Cross multiply
    7,830.56x = 10,820.48 × 5,702.38
  4. Step 4: Simplify right side
    7,830.56x = 61,702,530.05
  5. Step 5: Solve for x
    x = 61,702,530.05/7,830.56
  6. Step 6: Final answer
    x = 7,879.71

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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.