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Finding the Fourth Proportional to 7,107.70, 9,808.69 and 4,123.58

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Solution

The fourth proportional to 7,107.70, 9,808.69 and 4,123.58 is: 5,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.70 : 9,808.69 = 4,123.58 : x
  2. Step 2: Convert to fraction form
    7,107.70/9,808.69 = 4,123.58/x
  3. Step 3: Cross multiply
    7,107.70x = 9,808.69 × 4,123.58
  4. Step 4: Simplify right side
    7,107.70x = 40,446,932.12
  5. Step 5: Solve for x
    x = 40,446,932.12/7,107.70
  6. Step 6: Final answer
    x = 5,690.58

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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.