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Finding the Fourth Proportional to 8,250.94, 12,373.53 and 4,964.62

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Solution

The fourth proportional to 8,250.94, 12,373.53 and 4,964.62 is: 7,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.94 : 12,373.53 = 4,964.62 : x
  2. Step 2: Convert to fraction form
    8,250.94/12,373.53 = 4,964.62/x
  3. Step 3: Cross multiply
    8,250.94x = 12,373.53 × 4,964.62
  4. Step 4: Simplify right side
    8,250.94x = 61,429,874.51
  5. Step 5: Solve for x
    x = 61,429,874.51/8,250.94
  6. Step 6: Final answer
    x = 7,445.20

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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.