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Finding the Fourth Proportional to 7,885.30, 11,828.49 and 2,042.50

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Solution

The fourth proportional to 7,885.30, 11,828.49 and 2,042.50 is: 3,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.30 : 11,828.49 = 2,042.50 : x
  2. Step 2: Convert to fraction form
    7,885.30/11,828.49 = 2,042.50/x
  3. Step 3: Cross multiply
    7,885.30x = 11,828.49 × 2,042.50
  4. Step 4: Simplify right side
    7,885.30x = 24,159,690.83
  5. Step 5: Solve for x
    x = 24,159,690.83/7,885.30
  6. Step 6: Final answer
    x = 3,063.89

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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.