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Finding the Fourth Proportional to 10,605.54, 15,907.50 and 3,586.14

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Solution

The fourth proportional to 10,605.54, 15,907.50 and 3,586.14 is: 5,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.54 : 15,907.50 = 3,586.14 : x
  2. Step 2: Convert to fraction form
    10,605.54/15,907.50 = 3,586.14/x
  3. Step 3: Cross multiply
    10,605.54x = 15,907.50 × 3,586.14
  4. Step 4: Simplify right side
    10,605.54x = 57,046,522.05
  5. Step 5: Solve for x
    x = 57,046,522.05/10,605.54
  6. Step 6: Final answer
    x = 5,378.94

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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.