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Finding the Fourth Proportional to 7,861.06, 10,835.67 and 5,966.47

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Solution

The fourth proportional to 7,861.06, 10,835.67 and 5,966.47 is: 8,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.06 : 10,835.67 = 5,966.47 : x
  2. Step 2: Convert to fraction form
    7,861.06/10,835.67 = 5,966.47/x
  3. Step 3: Cross multiply
    7,861.06x = 10,835.67 × 5,966.47
  4. Step 4: Simplify right side
    7,861.06x = 64,650,699.98
  5. Step 5: Solve for x
    x = 64,650,699.98/7,861.06
  6. Step 6: Final answer
    x = 8,224.17

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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.