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Finding the Fourth Proportional to 10,455.13, 15,678.64 and 3,879.82

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Solution

The fourth proportional to 10,455.13, 15,678.64 and 3,879.82 is: 5,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.13 : 15,678.64 = 3,879.82 : x
  2. Step 2: Convert to fraction form
    10,455.13/15,678.64 = 3,879.82/x
  3. Step 3: Cross multiply
    10,455.13x = 15,678.64 × 3,879.82
  4. Step 4: Simplify right side
    10,455.13x = 60,830,301.04
  5. Step 5: Solve for x
    x = 60,830,301.04/10,455.13
  6. Step 6: Final answer
    x = 5,818.23

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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.