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Finding the Fourth Proportional to 10,583.90, 14,604.74 and 5,868.08

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Solution

The fourth proportional to 10,583.90, 14,604.74 and 5,868.08 is: 8,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.90 : 14,604.74 = 5,868.08 : x
  2. Step 2: Convert to fraction form
    10,583.90/14,604.74 = 5,868.08/x
  3. Step 3: Cross multiply
    10,583.90x = 14,604.74 × 5,868.08
  4. Step 4: Simplify right side
    10,583.90x = 85,701,782.70
  5. Step 5: Solve for x
    x = 85,701,782.70/10,583.90
  6. Step 6: Final answer
    x = 8,097.37

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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.