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Finding the Fourth Proportional to 6,285.24, 8,661.30 and 5,681.16

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Solution

The fourth proportional to 6,285.24, 8,661.30 and 5,681.16 is: 7,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.24 : 8,661.30 = 5,681.16 : x
  2. Step 2: Convert to fraction form
    6,285.24/8,661.30 = 5,681.16/x
  3. Step 3: Cross multiply
    6,285.24x = 8,661.30 × 5,681.16
  4. Step 4: Simplify right side
    6,285.24x = 49,206,231.11
  5. Step 5: Solve for x
    x = 49,206,231.11/6,285.24
  6. Step 6: Final answer
    x = 7,828.85

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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.