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Finding the Fourth Proportional to 11,382.72, 15,699.24 and 7,405.11

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Solution

The fourth proportional to 11,382.72, 15,699.24 and 7,405.11 is: 10,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.72 : 15,699.24 = 7,405.11 : x
  2. Step 2: Convert to fraction form
    11,382.72/15,699.24 = 7,405.11/x
  3. Step 3: Cross multiply
    11,382.72x = 15,699.24 × 7,405.11
  4. Step 4: Simplify right side
    11,382.72x = 116,254,599.12
  5. Step 5: Solve for x
    x = 116,254,599.12/11,382.72
  6. Step 6: Final answer
    x = 10,213.25

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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.