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Finding the Fourth Proportional to 10,059.62, 13,881.38 and 5,583.48

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Solution

The fourth proportional to 10,059.62, 13,881.38 and 5,583.48 is: 7,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.62 : 13,881.38 = 5,583.48 : x
  2. Step 2: Convert to fraction form
    10,059.62/13,881.38 = 5,583.48/x
  3. Step 3: Cross multiply
    10,059.62x = 13,881.38 × 5,583.48
  4. Step 4: Simplify right side
    10,059.62x = 77,506,379.69
  5. Step 5: Solve for x
    x = 77,506,379.69/10,059.62
  6. Step 6: Final answer
    x = 7,704.71

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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.