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Finding the Fourth Proportional to 8,124.27, 11,212.15 and 6,459.42

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Solution

The fourth proportional to 8,124.27, 11,212.15 and 6,459.42 is: 8,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.27 : 11,212.15 = 6,459.42 : x
  2. Step 2: Convert to fraction form
    8,124.27/11,212.15 = 6,459.42/x
  3. Step 3: Cross multiply
    8,124.27x = 11,212.15 × 6,459.42
  4. Step 4: Simplify right side
    8,124.27x = 72,423,985.95
  5. Step 5: Solve for x
    x = 72,423,985.95/8,124.27
  6. Step 6: Final answer
    x = 8,914.52

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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.