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Finding the Fourth Proportional to 10,265.54, 14,166.44 and 5,549.82

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Solution

The fourth proportional to 10,265.54, 14,166.44 and 5,549.82 is: 7,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.54 : 14,166.44 = 5,549.82 : x
  2. Step 2: Convert to fraction form
    10,265.54/14,166.44 = 5,549.82/x
  3. Step 3: Cross multiply
    10,265.54x = 14,166.44 × 5,549.82
  4. Step 4: Simplify right side
    10,265.54x = 78,621,164.29
  5. Step 5: Solve for x
    x = 78,621,164.29/10,265.54
  6. Step 6: Final answer
    x = 7,658.75

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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.