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Finding the Fourth Proportional to 11,956.69, 16,503.93 and 7,707.76

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Solution

The fourth proportional to 11,956.69, 16,503.93 and 7,707.76 is: 10,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.69 : 16,503.93 = 7,707.76 : x
  2. Step 2: Convert to fraction form
    11,956.69/16,503.93 = 7,707.76/x
  3. Step 3: Cross multiply
    11,956.69x = 16,503.93 × 7,707.76
  4. Step 4: Simplify right side
    11,956.69x = 127,208,268.56
  5. Step 5: Solve for x
    x = 127,208,268.56/11,956.69
  6. Step 6: Final answer
    x = 10,639.09

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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.