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Finding the Fourth Proportional to 8,166.29, 11,275.84 and 6,274.87

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Solution

The fourth proportional to 8,166.29, 11,275.84 and 6,274.87 is: 8,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.29 : 11,275.84 = 6,274.87 : x
  2. Step 2: Convert to fraction form
    8,166.29/11,275.84 = 6,274.87/x
  3. Step 3: Cross multiply
    8,166.29x = 11,275.84 × 6,274.87
  4. Step 4: Simplify right side
    8,166.29x = 70,754,430.14
  5. Step 5: Solve for x
    x = 70,754,430.14/8,166.29
  6. Step 6: Final answer
    x = 8,664.21

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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.