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Finding the Fourth Proportional to 10,675.36, 14,731.92 and 5,895.60

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Solution

The fourth proportional to 10,675.36, 14,731.92 and 5,895.60 is: 8,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.36 : 14,731.92 = 5,895.60 : x
  2. Step 2: Convert to fraction form
    10,675.36/14,731.92 = 5,895.60/x
  3. Step 3: Cross multiply
    10,675.36x = 14,731.92 × 5,895.60
  4. Step 4: Simplify right side
    10,675.36x = 86,853,507.55
  5. Step 5: Solve for x
    x = 86,853,507.55/10,675.36
  6. Step 6: Final answer
    x = 8,135.89

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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.