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Finding the Fourth Proportional to 7,513.76, 11,271.86 and 2,833.58

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Solution

The fourth proportional to 7,513.76, 11,271.86 and 2,833.58 is: 4,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.76 : 11,271.86 = 2,833.58 : x
  2. Step 2: Convert to fraction form
    7,513.76/11,271.86 = 2,833.58/x
  3. Step 3: Cross multiply
    7,513.76x = 11,271.86 × 2,833.58
  4. Step 4: Simplify right side
    7,513.76x = 31,939,741.70
  5. Step 5: Solve for x
    x = 31,939,741.70/7,513.76
  6. Step 6: Final answer
    x = 4,250.83

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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.