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Finding the Fourth Proportional to 8,070.90, 11,138.49 and 4,534.98

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Solution

The fourth proportional to 8,070.90, 11,138.49 and 4,534.98 is: 6,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.90 : 11,138.49 = 4,534.98 : x
  2. Step 2: Convert to fraction form
    8,070.90/11,138.49 = 4,534.98/x
  3. Step 3: Cross multiply
    8,070.90x = 11,138.49 × 4,534.98
  4. Step 4: Simplify right side
    8,070.90x = 50,512,829.38
  5. Step 5: Solve for x
    x = 50,512,829.38/8,070.90
  6. Step 6: Final answer
    x = 6,258.64

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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.