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Finding the Fourth Proportional to 7,888.24, 11,833.17 and 2,341.63

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Solution

The fourth proportional to 7,888.24, 11,833.17 and 2,341.63 is: 3,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.24 : 11,833.17 = 2,341.63 : x
  2. Step 2: Convert to fraction form
    7,888.24/11,833.17 = 2,341.63/x
  3. Step 3: Cross multiply
    7,888.24x = 11,833.17 × 2,341.63
  4. Step 4: Simplify right side
    7,888.24x = 27,708,905.87
  5. Step 5: Solve for x
    x = 27,708,905.87/7,888.24
  6. Step 6: Final answer
    x = 3,512.69

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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.