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Finding the Fourth Proportional to 11,812.08, 16,300.48 and 7,276.80

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Solution

The fourth proportional to 11,812.08, 16,300.48 and 7,276.80 is: 10,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.08 : 16,300.48 = 7,276.80 : x
  2. Step 2: Convert to fraction form
    11,812.08/16,300.48 = 7,276.80/x
  3. Step 3: Cross multiply
    11,812.08x = 16,300.48 × 7,276.80
  4. Step 4: Simplify right side
    11,812.08x = 118,615,332.86
  5. Step 5: Solve for x
    x = 118,615,332.86/11,812.08
  6. Step 6: Final answer
    x = 10,041.87

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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.