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Finding the Fourth Proportional to 11,812.80, 16,298.72 and 7,616

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Solution

The fourth proportional to 11,812.80, 16,298.72 and 7,616 is: 10,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.80 : 16,298.72 = 7,616 : x
  2. Step 2: Convert to fraction form
    11,812.80/16,298.72 = 7,616/x
  3. Step 3: Cross multiply
    11,812.80x = 16,298.72 × 7,616
  4. Step 4: Simplify right side
    11,812.80x = 124,131,051.52
  5. Step 5: Solve for x
    x = 124,131,051.52/11,812.80
  6. Step 6: Final answer
    x = 10,508.18

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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.