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Finding the Fourth Proportional to 7,107.50, 9,808.58 and 3,920.94

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Solution

The fourth proportional to 7,107.50, 9,808.58 and 3,920.94 is: 5,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.50 : 9,808.58 = 3,920.94 : x
  2. Step 2: Convert to fraction form
    7,107.50/9,808.58 = 3,920.94/x
  3. Step 3: Cross multiply
    7,107.50x = 9,808.58 × 3,920.94
  4. Step 4: Simplify right side
    7,107.50x = 38,458,853.67
  5. Step 5: Solve for x
    x = 38,458,853.67/7,107.50
  6. Step 6: Final answer
    x = 5,411.02

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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.