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Finding the Fourth Proportional to 7,077.58, 10,604.74 and 4,305.05

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Solution

The fourth proportional to 7,077.58, 10,604.74 and 4,305.05 is: 6,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.58 : 10,604.74 = 4,305.05 : x
  2. Step 2: Convert to fraction form
    7,077.58/10,604.74 = 4,305.05/x
  3. Step 3: Cross multiply
    7,077.58x = 10,604.74 × 4,305.05
  4. Step 4: Simplify right side
    7,077.58x = 45,653,935.94
  5. Step 5: Solve for x
    x = 45,653,935.94/7,077.58
  6. Step 6: Final answer
    x = 6,450.50

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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.