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Finding the Fourth Proportional to 10,038, 13,852.44 and 5,622

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Solution

The fourth proportional to 10,038, 13,852.44 and 5,622 is: 7,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038 : 13,852.44 = 5,622 : x
  2. Step 2: Convert to fraction form
    10,038/13,852.44 = 5,622/x
  3. Step 3: Cross multiply
    10,038x = 13,852.44 × 5,622
  4. Step 4: Simplify right side
    10,038x = 77,878,417.68
  5. Step 5: Solve for x
    x = 77,878,417.68/10,038
  6. Step 6: Final answer
    x = 7,758.36

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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.