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Finding the Fourth Proportional to 7,051.96, 10,576.74 and 1,857.88

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Solution

The fourth proportional to 7,051.96, 10,576.74 and 1,857.88 is: 2,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.96 : 10,576.74 = 1,857.88 : x
  2. Step 2: Convert to fraction form
    7,051.96/10,576.74 = 1,857.88/x
  3. Step 3: Cross multiply
    7,051.96x = 10,576.74 × 1,857.88
  4. Step 4: Simplify right side
    7,051.96x = 19,650,313.71
  5. Step 5: Solve for x
    x = 19,650,313.71/7,051.96
  6. Step 6: Final answer
    x = 2,786.50

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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.