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Finding the Fourth Proportional to 10,271.52, 14,175.06 and 5,796.36

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Solution

The fourth proportional to 10,271.52, 14,175.06 and 5,796.36 is: 7,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.52 : 14,175.06 = 5,796.36 : x
  2. Step 2: Convert to fraction form
    10,271.52/14,175.06 = 5,796.36/x
  3. Step 3: Cross multiply
    10,271.52x = 14,175.06 × 5,796.36
  4. Step 4: Simplify right side
    10,271.52x = 82,163,750.78
  5. Step 5: Solve for x
    x = 82,163,750.78/10,271.52
  6. Step 6: Final answer
    x = 7,999.18

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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.