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Finding the Fourth Proportional to 11,561.04, 17,330.76 and 8,226

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Solution

The fourth proportional to 11,561.04, 17,330.76 and 8,226 is: 12,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.04 : 17,330.76 = 8,226 : x
  2. Step 2: Convert to fraction form
    11,561.04/17,330.76 = 8,226/x
  3. Step 3: Cross multiply
    11,561.04x = 17,330.76 × 8,226
  4. Step 4: Simplify right side
    11,561.04x = 142,562,831.76
  5. Step 5: Solve for x
    x = 142,562,831.76/11,561.04
  6. Step 6: Final answer
    x = 12,331.32

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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.