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Finding the Fourth Proportional to 7,107.24, 9,806.08 and 4,588.54

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Solution

The fourth proportional to 7,107.24, 9,806.08 and 4,588.54 is: 6,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.24 : 9,806.08 = 4,588.54 : x
  2. Step 2: Convert to fraction form
    7,107.24/9,806.08 = 4,588.54/x
  3. Step 3: Cross multiply
    7,107.24x = 9,806.08 × 4,588.54
  4. Step 4: Simplify right side
    7,107.24x = 44,995,590.32
  5. Step 5: Solve for x
    x = 44,995,590.32/7,107.24
  6. Step 6: Final answer
    x = 6,330.95

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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.