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Finding the Fourth Proportional to 11,066.34, 16,597.76 and 3,670.50

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Solution

The fourth proportional to 11,066.34, 16,597.76 and 3,670.50 is: 5,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066.34 : 16,597.76 = 3,670.50 : x
  2. Step 2: Convert to fraction form
    11,066.34/16,597.76 = 3,670.50/x
  3. Step 3: Cross multiply
    11,066.34x = 16,597.76 × 3,670.50
  4. Step 4: Simplify right side
    11,066.34x = 60,922,059.73
  5. Step 5: Solve for x
    x = 60,922,059.73/11,066.34
  6. Step 6: Final answer
    x = 5,505.17

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Why These Related Problems?

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