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Finding the Fourth Proportional to 10,976.80, 16,457.92 and 6,048.80

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Solution

The fourth proportional to 10,976.80, 16,457.92 and 6,048.80 is: 9,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.80 : 16,457.92 = 6,048.80 : x
  2. Step 2: Convert to fraction form
    10,976.80/16,457.92 = 6,048.80/x
  3. Step 3: Cross multiply
    10,976.80x = 16,457.92 × 6,048.80
  4. Step 4: Simplify right side
    10,976.80x = 99,550,666.50
  5. Step 5: Solve for x
    x = 99,550,666.50/10,976.80
  6. Step 6: Final answer
    x = 9,069.19

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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.