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Finding the Fourth Proportional to 11,143.34, 15,384.80 and 7,171.35

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Solution

The fourth proportional to 11,143.34, 15,384.80 and 7,171.35 is: 9,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.34 : 15,384.80 = 7,171.35 : x
  2. Step 2: Convert to fraction form
    11,143.34/15,384.80 = 7,171.35/x
  3. Step 3: Cross multiply
    11,143.34x = 15,384.80 × 7,171.35
  4. Step 4: Simplify right side
    11,143.34x = 110,329,791.92
  5. Step 5: Solve for x
    x = 110,329,791.92/11,143.34
  6. Step 6: Final answer
    x = 9,900.96

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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.