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Finding the Fourth Proportional to 7,851.06, 10,821.87 and 5,956.47

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Solution

The fourth proportional to 7,851.06, 10,821.87 and 5,956.47 is: 8,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.06 : 10,821.87 = 5,956.47 : x
  2. Step 2: Convert to fraction form
    7,851.06/10,821.87 = 5,956.47/x
  3. Step 3: Cross multiply
    7,851.06x = 10,821.87 × 5,956.47
  4. Step 4: Simplify right side
    7,851.06x = 64,460,144.00
  5. Step 5: Solve for x
    x = 64,460,144.00/7,851.06
  6. Step 6: Final answer
    x = 8,210.37

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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.