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Finding the Fourth Proportional to 11,342.88, 15,665.13 and 10,106.01

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Solution

The fourth proportional to 11,342.88, 15,665.13 and 10,106.01 is: 13,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.88 : 15,665.13 = 10,106.01 : x
  2. Step 2: Convert to fraction form
    11,342.88/15,665.13 = 10,106.01/x
  3. Step 3: Cross multiply
    11,342.88x = 15,665.13 × 10,106.01
  4. Step 4: Simplify right side
    11,342.88x = 158,311,960.43
  5. Step 5: Solve for x
    x = 158,311,960.43/11,342.88
  6. Step 6: Final answer
    x = 13,956.95

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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.