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Finding the Fourth Proportional to 7,038.75, 9,710.58 and 4,522.33

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Solution

The fourth proportional to 7,038.75, 9,710.58 and 4,522.33 is: 6,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.75 : 9,710.58 = 4,522.33 : x
  2. Step 2: Convert to fraction form
    7,038.75/9,710.58 = 4,522.33/x
  3. Step 3: Cross multiply
    7,038.75x = 9,710.58 × 4,522.33
  4. Step 4: Simplify right side
    7,038.75x = 43,914,447.25
  5. Step 5: Solve for x
    x = 43,914,447.25/7,038.75
  6. Step 6: Final answer
    x = 6,238.96

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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.