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Finding the Fourth Proportional to 8,713.74, 13,070.97 and 4,093.50

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Solution

The fourth proportional to 8,713.74, 13,070.97 and 4,093.50 is: 6,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.74 : 13,070.97 = 4,093.50 : x
  2. Step 2: Convert to fraction form
    8,713.74/13,070.97 = 4,093.50/x
  3. Step 3: Cross multiply
    8,713.74x = 13,070.97 × 4,093.50
  4. Step 4: Simplify right side
    8,713.74x = 53,506,015.70
  5. Step 5: Solve for x
    x = 53,506,015.70/8,713.74
  6. Step 6: Final answer
    x = 6,140.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.