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Finding the Fourth Proportional to 10,813.14, 16,206.75 and 4,968.18

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Solution

The fourth proportional to 10,813.14, 16,206.75 and 4,968.18 is: 7,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.14 : 16,206.75 = 4,968.18 : x
  2. Step 2: Convert to fraction form
    10,813.14/16,206.75 = 4,968.18/x
  3. Step 3: Cross multiply
    10,813.14x = 16,206.75 × 4,968.18
  4. Step 4: Simplify right side
    10,813.14x = 80,518,051.22
  5. Step 5: Solve for x
    x = 80,518,051.22/10,813.14
  6. Step 6: Final answer
    x = 7,446.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.