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Finding the Fourth Proportional to 11,406.15, 15,748.25 and 7,382.70

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Solution

The fourth proportional to 11,406.15, 15,748.25 and 7,382.70 is: 10,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.15 : 15,748.25 = 7,382.70 : x
  2. Step 2: Convert to fraction form
    11,406.15/15,748.25 = 7,382.70/x
  3. Step 3: Cross multiply
    11,406.15x = 15,748.25 × 7,382.70
  4. Step 4: Simplify right side
    11,406.15x = 116,264,568.36
  5. Step 5: Solve for x
    x = 116,264,568.36/11,406.15
  6. Step 6: Final answer
    x = 10,193.15

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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.