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Finding the Fourth Proportional to 11,296.29, 15,583.64 and 7,318.74

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Solution

The fourth proportional to 11,296.29, 15,583.64 and 7,318.74 is: 10,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.29 : 15,583.64 = 7,318.74 : x
  2. Step 2: Convert to fraction form
    11,296.29/15,583.64 = 7,318.74/x
  3. Step 3: Cross multiply
    11,296.29x = 15,583.64 × 7,318.74
  4. Step 4: Simplify right side
    11,296.29x = 114,052,572.82
  5. Step 5: Solve for x
    x = 114,052,572.82/11,296.29
  6. Step 6: Final answer
    x = 10,096.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.