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Finding the Fourth Proportional to 8,647.94, 11,934.45 and 5,114.18

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Solution

The fourth proportional to 8,647.94, 11,934.45 and 5,114.18 is: 7,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.94 : 11,934.45 = 5,114.18 : x
  2. Step 2: Convert to fraction form
    8,647.94/11,934.45 = 5,114.18/x
  3. Step 3: Cross multiply
    8,647.94x = 11,934.45 × 5,114.18
  4. Step 4: Simplify right side
    8,647.94x = 61,034,925.50
  5. Step 5: Solve for x
    x = 61,034,925.50/8,647.94
  6. Step 6: Final answer
    x = 7,057.74

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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.