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Finding the Fourth Proportional to 8,693.40, 13,042.26 and 4,071

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Solution

The fourth proportional to 8,693.40, 13,042.26 and 4,071 is: 6,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.40 : 13,042.26 = 4,071 : x
  2. Step 2: Convert to fraction form
    8,693.40/13,042.26 = 4,071/x
  3. Step 3: Cross multiply
    8,693.40x = 13,042.26 × 4,071
  4. Step 4: Simplify right side
    8,693.40x = 53,095,040.46
  5. Step 5: Solve for x
    x = 53,095,040.46/8,693.40
  6. Step 6: Final answer
    x = 6,107.51

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