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Finding the Fourth Proportional to 11,323.14, 15,627.78 and 6,288.98

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Solution

The fourth proportional to 11,323.14, 15,627.78 and 6,288.98 is: 8,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.14 : 15,627.78 = 6,288.98 : x
  2. Step 2: Convert to fraction form
    11,323.14/15,627.78 = 6,288.98/x
  3. Step 3: Cross multiply
    11,323.14x = 15,627.78 × 6,288.98
  4. Step 4: Simplify right side
    11,323.14x = 98,282,795.86
  5. Step 5: Solve for x
    x = 98,282,795.86/11,323.14
  6. Step 6: Final answer
    x = 8,679.82

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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.