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Finding the Fourth Proportional to 8,342.88, 11,513.34 and 5,156.64

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Solution

The fourth proportional to 8,342.88, 11,513.34 and 5,156.64 is: 7,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.88 : 11,513.34 = 5,156.64 : x
  2. Step 2: Convert to fraction form
    8,342.88/11,513.34 = 5,156.64/x
  3. Step 3: Cross multiply
    8,342.88x = 11,513.34 × 5,156.64
  4. Step 4: Simplify right side
    8,342.88x = 59,370,149.58
  5. Step 5: Solve for x
    x = 59,370,149.58/8,342.88
  6. Step 6: Final answer
    x = 7,116.27

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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.