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Finding the Fourth Proportional to 6,107.16, 8,428.14 and 4,013.40

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Solution

The fourth proportional to 6,107.16, 8,428.14 and 4,013.40 is: 5,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.16 : 8,428.14 = 4,013.40 : x
  2. Step 2: Convert to fraction form
    6,107.16/8,428.14 = 4,013.40/x
  3. Step 3: Cross multiply
    6,107.16x = 8,428.14 × 4,013.40
  4. Step 4: Simplify right side
    6,107.16x = 33,825,497.08
  5. Step 5: Solve for x
    x = 33,825,497.08/6,107.16
  6. Step 6: Final answer
    x = 5,538.66

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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.