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Finding the Fourth Proportional to 8,222.51, 11,348.71 and 4,865.47

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Solution

The fourth proportional to 8,222.51, 11,348.71 and 4,865.47 is: 6,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.51 : 11,348.71 = 4,865.47 : x
  2. Step 2: Convert to fraction form
    8,222.51/11,348.71 = 4,865.47/x
  3. Step 3: Cross multiply
    8,222.51x = 11,348.71 × 4,865.47
  4. Step 4: Simplify right side
    8,222.51x = 55,216,767.51
  5. Step 5: Solve for x
    x = 55,216,767.51/8,222.51
  6. Step 6: Final answer
    x = 6,715.32

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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.