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Finding the Fourth Proportional to 7,509.64, 11,267.34 and 2,893

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Solution

The fourth proportional to 7,509.64, 11,267.34 and 2,893 is: 4,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.64 : 11,267.34 = 2,893 : x
  2. Step 2: Convert to fraction form
    7,509.64/11,267.34 = 2,893/x
  3. Step 3: Cross multiply
    7,509.64x = 11,267.34 × 2,893
  4. Step 4: Simplify right side
    7,509.64x = 32,596,414.62
  5. Step 5: Solve for x
    x = 32,596,414.62/7,509.64
  6. Step 6: Final answer
    x = 4,340.61

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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.