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Finding the Fourth Proportional to 10,583.08, 14,604.08 and 5,803

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Solution

The fourth proportional to 10,583.08, 14,604.08 and 5,803 is: 8,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.08 : 14,604.08 = 5,803 : x
  2. Step 2: Convert to fraction form
    10,583.08/14,604.08 = 5,803/x
  3. Step 3: Cross multiply
    10,583.08x = 14,604.08 × 5,803
  4. Step 4: Simplify right side
    10,583.08x = 84,747,476.24
  5. Step 5: Solve for x
    x = 84,747,476.24/10,583.08
  6. Step 6: Final answer
    x = 8,007.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.