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Finding the Fourth Proportional to 8,274.93, 12,402.96 and 4,117.80

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Solution

The fourth proportional to 8,274.93, 12,402.96 and 4,117.80 is: 6,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.93 : 12,402.96 = 4,117.80 : x
  2. Step 2: Convert to fraction form
    8,274.93/12,402.96 = 4,117.80/x
  3. Step 3: Cross multiply
    8,274.93x = 12,402.96 × 4,117.80
  4. Step 4: Simplify right side
    8,274.93x = 51,072,908.69
  5. Step 5: Solve for x
    x = 51,072,908.69/8,274.93
  6. Step 6: Final answer
    x = 6,172.00

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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.