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Finding the Fourth Proportional to 11,412.29, 15,648.19 and 10,288.82

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Solution

The fourth proportional to 11,412.29, 15,648.19 and 10,288.82 is: 14,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.29 : 15,648.19 = 10,288.82 : x
  2. Step 2: Convert to fraction form
    11,412.29/15,648.19 = 10,288.82/x
  3. Step 3: Cross multiply
    11,412.29x = 15,648.19 × 10,288.82
  4. Step 4: Simplify right side
    11,412.29x = 161,001,423.63
  5. Step 5: Solve for x
    x = 161,001,423.63/11,412.29
  6. Step 6: Final answer
    x = 14,107.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.