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Finding the Fourth Proportional to 11,384.80, 15,714.03 and 10,203.82

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Solution

The fourth proportional to 11,384.80, 15,714.03 and 10,203.82 is: 14,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.80 : 15,714.03 = 10,203.82 : x
  2. Step 2: Convert to fraction form
    11,384.80/15,714.03 = 10,203.82/x
  3. Step 3: Cross multiply
    11,384.80x = 15,714.03 × 10,203.82
  4. Step 4: Simplify right side
    11,384.80x = 160,343,133.59
  5. Step 5: Solve for x
    x = 160,343,133.59/11,384.80
  6. Step 6: Final answer
    x = 14,083.97

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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.