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Finding the Fourth Proportional to 11,678.57, 16,116.47 and 6,373.50

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Solution

The fourth proportional to 11,678.57, 16,116.47 and 6,373.50 is: 8,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.57 : 16,116.47 = 6,373.50 : x
  2. Step 2: Convert to fraction form
    11,678.57/16,116.47 = 6,373.50/x
  3. Step 3: Cross multiply
    11,678.57x = 16,116.47 × 6,373.50
  4. Step 4: Simplify right side
    11,678.57x = 102,718,289.68
  5. Step 5: Solve for x
    x = 102,718,289.68/11,678.57
  6. Step 6: Final answer
    x = 8,795.45

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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.