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Finding the Fourth Proportional to 7,407.90, 10,223.87 and 4,222.35

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Solution

The fourth proportional to 7,407.90, 10,223.87 and 4,222.35 is: 5,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.90 : 10,223.87 = 4,222.35 : x
  2. Step 2: Convert to fraction form
    7,407.90/10,223.87 = 4,222.35/x
  3. Step 3: Cross multiply
    7,407.90x = 10,223.87 × 4,222.35
  4. Step 4: Simplify right side
    7,407.90x = 43,168,736.38
  5. Step 5: Solve for x
    x = 43,168,736.38/7,407.90
  6. Step 6: Final answer
    x = 5,827.39

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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.