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Finding the Fourth Proportional to 8,521.63, 11,759.01 and 6,284.71

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Solution

The fourth proportional to 8,521.63, 11,759.01 and 6,284.71 is: 8,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.63 : 11,759.01 = 6,284.71 : x
  2. Step 2: Convert to fraction form
    8,521.63/11,759.01 = 6,284.71/x
  3. Step 3: Cross multiply
    8,521.63x = 11,759.01 × 6,284.71
  4. Step 4: Simplify right side
    8,521.63x = 73,901,967.74
  5. Step 5: Solve for x
    x = 73,901,967.74/8,521.63
  6. Step 6: Final answer
    x = 8,672.28

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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.