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Finding the Fourth Proportional to 7,051.16, 10,576.86 and 1,856.84

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Solution

The fourth proportional to 7,051.16, 10,576.86 and 1,856.84 is: 2,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.16 : 10,576.86 = 1,856.84 : x
  2. Step 2: Convert to fraction form
    7,051.16/10,576.86 = 1,856.84/x
  3. Step 3: Cross multiply
    7,051.16x = 10,576.86 × 1,856.84
  4. Step 4: Simplify right side
    7,051.16x = 19,639,536.72
  5. Step 5: Solve for x
    x = 19,639,536.72/7,051.16
  6. Step 6: Final answer
    x = 2,785.29

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