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Finding the Fourth Proportional to 7,123.26, 9,830.08 and 4,098.72

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Solution

The fourth proportional to 7,123.26, 9,830.08 and 4,098.72 is: 5,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.26 : 9,830.08 = 4,098.72 : x
  2. Step 2: Convert to fraction form
    7,123.26/9,830.08 = 4,098.72/x
  3. Step 3: Cross multiply
    7,123.26x = 9,830.08 × 4,098.72
  4. Step 4: Simplify right side
    7,123.26x = 40,290,745.50
  5. Step 5: Solve for x
    x = 40,290,745.50/7,123.26
  6. Step 6: Final answer
    x = 5,656.22

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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.