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Finding the Fourth Proportional to 10,549.70, 15,825.45 and 2,758.50

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Solution

The fourth proportional to 10,549.70, 15,825.45 and 2,758.50 is: 4,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.70 : 15,825.45 = 2,758.50 : x
  2. Step 2: Convert to fraction form
    10,549.70/15,825.45 = 2,758.50/x
  3. Step 3: Cross multiply
    10,549.70x = 15,825.45 × 2,758.50
  4. Step 4: Simplify right side
    10,549.70x = 43,654,503.83
  5. Step 5: Solve for x
    x = 43,654,503.83/10,549.70
  6. Step 6: Final answer
    x = 4,137.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.