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Finding the Fourth Proportional to 10,581.36, 15,933.87 and 7,827.46

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Solution

The fourth proportional to 10,581.36, 15,933.87 and 7,827.46 is: 11,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.36 : 15,933.87 = 7,827.46 : x
  2. Step 2: Convert to fraction form
    10,581.36/15,933.87 = 7,827.46/x
  3. Step 3: Cross multiply
    10,581.36x = 15,933.87 × 7,827.46
  4. Step 4: Simplify right side
    10,581.36x = 124,721,719.59
  5. Step 5: Solve for x
    x = 124,721,719.59/10,581.36
  6. Step 6: Final answer
    x = 11,786.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.