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Finding the Fourth Proportional to 10,980.56, 16,465.68 and 4,736.68

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Solution

The fourth proportional to 10,980.56, 16,465.68 and 4,736.68 is: 7,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.56 : 16,465.68 = 4,736.68 : x
  2. Step 2: Convert to fraction form
    10,980.56/16,465.68 = 4,736.68/x
  3. Step 3: Cross multiply
    10,980.56x = 16,465.68 × 4,736.68
  4. Step 4: Simplify right side
    10,980.56x = 77,992,615.98
  5. Step 5: Solve for x
    x = 77,992,615.98/10,980.56
  6. Step 6: Final answer
    x = 7,102.79

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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.