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Finding the Fourth Proportional to 11,429.29, 15,769.47 and 7,181.02

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Solution

The fourth proportional to 11,429.29, 15,769.47 and 7,181.02 is: 9,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.29 : 15,769.47 = 7,181.02 : x
  2. Step 2: Convert to fraction form
    11,429.29/15,769.47 = 7,181.02/x
  3. Step 3: Cross multiply
    11,429.29x = 15,769.47 × 7,181.02
  4. Step 4: Simplify right side
    11,429.29x = 113,240,879.46
  5. Step 5: Solve for x
    x = 113,240,879.46/11,429.29
  6. Step 6: Final answer
    x = 9,907.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.