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Finding the Fourth Proportional to 28,983.40, 43,475.10 and 8,207.08

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Solution

The fourth proportional to 28,983.40, 43,475.10 and 8,207.08 is: 12,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,983.40 : 43,475.10 = 8,207.08 : x
  2. Step 2: Convert to fraction form
    28,983.40/43,475.10 = 8,207.08/x
  3. Step 3: Cross multiply
    28,983.40x = 43,475.10 × 8,207.08
  4. Step 4: Simplify right side
    28,983.40x = 356,803,623.71
  5. Step 5: Solve for x
    x = 356,803,623.71/28,983.40
  6. Step 6: Final answer
    x = 12,310.62

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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.