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Finding the Fourth Proportional to 8,282.47, 11,426.44 and 4,696.68

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Solution

The fourth proportional to 8,282.47, 11,426.44 and 4,696.68 is: 6,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.47 : 11,426.44 = 4,696.68 : x
  2. Step 2: Convert to fraction form
    8,282.47/11,426.44 = 4,696.68/x
  3. Step 3: Cross multiply
    8,282.47x = 11,426.44 × 4,696.68
  4. Step 4: Simplify right side
    8,282.47x = 53,666,332.22
  5. Step 5: Solve for x
    x = 53,666,332.22/8,282.47
  6. Step 6: Final answer
    x = 6,479.51

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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.