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Finding the Fourth Proportional to 11,141.51, 15,342.87 and 10,429.20

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Solution

The fourth proportional to 11,141.51, 15,342.87 and 10,429.20 is: 14,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.51 : 15,342.87 = 10,429.20 : x
  2. Step 2: Convert to fraction form
    11,141.51/15,342.87 = 10,429.20/x
  3. Step 3: Cross multiply
    11,141.51x = 15,342.87 × 10,429.20
  4. Step 4: Simplify right side
    11,141.51x = 160,013,869.58
  5. Step 5: Solve for x
    x = 160,013,869.58/11,141.51
  6. Step 6: Final answer
    x = 14,361.96

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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.