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Finding the Fourth Proportional to 7,817.12, 11,714.76 and 5,615.54

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Solution

The fourth proportional to 7,817.12, 11,714.76 and 5,615.54 is: 8,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.12 : 11,714.76 = 5,615.54 : x
  2. Step 2: Convert to fraction form
    7,817.12/11,714.76 = 5,615.54/x
  3. Step 3: Cross multiply
    7,817.12x = 11,714.76 × 5,615.54
  4. Step 4: Simplify right side
    7,817.12x = 65,784,703.37
  5. Step 5: Solve for x
    x = 65,784,703.37/7,817.12
  6. Step 6: Final answer
    x = 8,415.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.