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Finding the Fourth Proportional to 11,395.76, 15,725.72 and 6,359.92

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Solution

The fourth proportional to 11,395.76, 15,725.72 and 6,359.92 is: 8,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.76 : 15,725.72 = 6,359.92 : x
  2. Step 2: Convert to fraction form
    11,395.76/15,725.72 = 6,359.92/x
  3. Step 3: Cross multiply
    11,395.76x = 15,725.72 × 6,359.92
  4. Step 4: Simplify right side
    11,395.76x = 100,014,321.14
  5. Step 5: Solve for x
    x = 100,014,321.14/11,395.76
  6. Step 6: Final answer
    x = 8,776.45

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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.