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Finding the Fourth Proportional to 10,059.36, 13,882.80 and 5,583.98

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Solution

The fourth proportional to 10,059.36, 13,882.80 and 5,583.98 is: 7,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.36 : 13,882.80 = 5,583.98 : x
  2. Step 2: Convert to fraction form
    10,059.36/13,882.80 = 5,583.98/x
  3. Step 3: Cross multiply
    10,059.36x = 13,882.80 × 5,583.98
  4. Step 4: Simplify right side
    10,059.36x = 77,521,208.13
  5. Step 5: Solve for x
    x = 77,521,208.13/10,059.36
  6. Step 6: Final answer
    x = 7,706.38

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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.