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Finding the Fourth Proportional to 7,833.65, 11,748.12 and 2,285.51

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Solution

The fourth proportional to 7,833.65, 11,748.12 and 2,285.51 is: 3,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.65 : 11,748.12 = 2,285.51 : x
  2. Step 2: Convert to fraction form
    7,833.65/11,748.12 = 2,285.51/x
  3. Step 3: Cross multiply
    7,833.65x = 11,748.12 × 2,285.51
  4. Step 4: Simplify right side
    7,833.65x = 26,850,387.00
  5. Step 5: Solve for x
    x = 26,850,387.00/7,833.65
  6. Step 6: Final answer
    x = 3,427.57

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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.