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Finding the Fourth Proportional to 8,310.47, 11,464.88 and 4,772.93

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Solution

The fourth proportional to 8,310.47, 11,464.88 and 4,772.93 is: 6,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.47 : 11,464.88 = 4,772.93 : x
  2. Step 2: Convert to fraction form
    8,310.47/11,464.88 = 4,772.93/x
  3. Step 3: Cross multiply
    8,310.47x = 11,464.88 × 4,772.93
  4. Step 4: Simplify right side
    8,310.47x = 54,720,988.51
  5. Step 5: Solve for x
    x = 54,720,988.51/8,310.47
  6. Step 6: Final answer
    x = 6,584.59

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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.