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Finding the Fourth Proportional to 7,502.94, 11,255.60 and 3,803.66

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Solution

The fourth proportional to 7,502.94, 11,255.60 and 3,803.66 is: 5,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.94 : 11,255.60 = 3,803.66 : x
  2. Step 2: Convert to fraction form
    7,502.94/11,255.60 = 3,803.66/x
  3. Step 3: Cross multiply
    7,502.94x = 11,255.60 × 3,803.66
  4. Step 4: Simplify right side
    7,502.94x = 42,812,475.50
  5. Step 5: Solve for x
    x = 42,812,475.50/7,502.94
  6. Step 6: Final answer
    x = 5,706.09

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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.