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Finding the Fourth Proportional to 7,011.88, 10,509.74 and 2,847.32

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Solution

The fourth proportional to 7,011.88, 10,509.74 and 2,847.32 is: 4,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.88 : 10,509.74 = 2,847.32 : x
  2. Step 2: Convert to fraction form
    7,011.88/10,509.74 = 2,847.32/x
  3. Step 3: Cross multiply
    7,011.88x = 10,509.74 × 2,847.32
  4. Step 4: Simplify right side
    7,011.88x = 29,924,540.35
  5. Step 5: Solve for x
    x = 29,924,540.35/7,011.88
  6. Step 6: Final answer
    x = 4,267.69

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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.