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Finding the Fourth Proportional to 8,484.73, 11,714.71 and 5,302.87

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Solution

The fourth proportional to 8,484.73, 11,714.71 and 5,302.87 is: 7,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.73 : 11,714.71 = 5,302.87 : x
  2. Step 2: Convert to fraction form
    8,484.73/11,714.71 = 5,302.87/x
  3. Step 3: Cross multiply
    8,484.73x = 11,714.71 × 5,302.87
  4. Step 4: Simplify right side
    8,484.73x = 62,121,584.22
  5. Step 5: Solve for x
    x = 62,121,584.22/8,484.73
  6. Step 6: Final answer
    x = 7,321.57

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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.