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Finding the Fourth Proportional to 8,187.94, 11,287.11 and 6,416.47

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Solution

The fourth proportional to 8,187.94, 11,287.11 and 6,416.47 is: 8,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.94 : 11,287.11 = 6,416.47 : x
  2. Step 2: Convert to fraction form
    8,187.94/11,287.11 = 6,416.47/x
  3. Step 3: Cross multiply
    8,187.94x = 11,287.11 × 6,416.47
  4. Step 4: Simplify right side
    8,187.94x = 72,423,402.70
  5. Step 5: Solve for x
    x = 72,423,402.70/8,187.94
  6. Step 6: Final answer
    x = 8,845.13

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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.