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Finding the Fourth Proportional to 10,675.71, 14,735.61 and 6,201.47

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Solution

The fourth proportional to 10,675.71, 14,735.61 and 6,201.47 is: 8,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.71 : 14,735.61 = 6,201.47 : x
  2. Step 2: Convert to fraction form
    10,675.71/14,735.61 = 6,201.47/x
  3. Step 3: Cross multiply
    10,675.71x = 14,735.61 × 6,201.47
  4. Step 4: Simplify right side
    10,675.71x = 91,382,443.35
  5. Step 5: Solve for x
    x = 91,382,443.35/10,675.71
  6. Step 6: Final answer
    x = 8,559.85

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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.