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Finding the Fourth Proportional to 8,343.18, 12,564.05 and 7,260.57

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Solution

The fourth proportional to 8,343.18, 12,564.05 and 7,260.57 is: 10,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.18 : 12,564.05 = 7,260.57 : x
  2. Step 2: Convert to fraction form
    8,343.18/12,564.05 = 7,260.57/x
  3. Step 3: Cross multiply
    8,343.18x = 12,564.05 × 7,260.57
  4. Step 4: Simplify right side
    8,343.18x = 91,222,128.21
  5. Step 5: Solve for x
    x = 91,222,128.21/8,343.18
  6. Step 6: Final answer
    x = 10,933.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.