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Finding the Fourth Proportional to 7,862.06, 10,837.04 and 5,967.48

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Solution

The fourth proportional to 7,862.06, 10,837.04 and 5,967.48 is: 8,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.06 : 10,837.04 = 5,967.48 : x
  2. Step 2: Convert to fraction form
    7,862.06/10,837.04 = 5,967.48/x
  3. Step 3: Cross multiply
    7,862.06x = 10,837.04 × 5,967.48
  4. Step 4: Simplify right side
    7,862.06x = 64,669,819.46
  5. Step 5: Solve for x
    x = 64,669,819.46/7,862.06
  6. Step 6: Final answer
    x = 8,225.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.