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Finding the Fourth Proportional to 10,546.55, 14,556.02 and 6,069.48

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Solution

The fourth proportional to 10,546.55, 14,556.02 and 6,069.48 is: 8,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.55 : 14,556.02 = 6,069.48 : x
  2. Step 2: Convert to fraction form
    10,546.55/14,556.02 = 6,069.48/x
  3. Step 3: Cross multiply
    10,546.55x = 14,556.02 × 6,069.48
  4. Step 4: Simplify right side
    10,546.55x = 88,347,503.36
  5. Step 5: Solve for x
    x = 88,347,503.36/10,546.55
  6. Step 6: Final answer
    x = 8,376.91

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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.