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Finding the Fourth Proportional to 11,545.74, 17,304.93 and 5,300.49

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Solution

The fourth proportional to 11,545.74, 17,304.93 and 5,300.49 is: 7,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.74 : 17,304.93 = 5,300.49 : x
  2. Step 2: Convert to fraction form
    11,545.74/17,304.93 = 5,300.49/x
  3. Step 3: Cross multiply
    11,545.74x = 17,304.93 × 5,300.49
  4. Step 4: Simplify right side
    11,545.74x = 91,724,608.42
  5. Step 5: Solve for x
    x = 91,724,608.42/11,545.74
  6. Step 6: Final answer
    x = 7,944.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.