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Finding the Fourth Proportional to 7,833.57, 11,748.52 and 3,669.63

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Solution

The fourth proportional to 7,833.57, 11,748.52 and 3,669.63 is: 5,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.57 : 11,748.52 = 3,669.63 : x
  2. Step 2: Convert to fraction form
    7,833.57/11,748.52 = 3,669.63/x
  3. Step 3: Cross multiply
    7,833.57x = 11,748.52 × 3,669.63
  4. Step 4: Simplify right side
    7,833.57x = 43,112,721.45
  5. Step 5: Solve for x
    x = 43,112,721.45/7,833.57
  6. Step 6: Final answer
    x = 5,503.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.