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Finding the Fourth Proportional to 11,206.76, 15,461.28 and 7,431.75

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Solution

The fourth proportional to 11,206.76, 15,461.28 and 7,431.75 is: 10,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.76 : 15,461.28 = 7,431.75 : x
  2. Step 2: Convert to fraction form
    11,206.76/15,461.28 = 7,431.75/x
  3. Step 3: Cross multiply
    11,206.76x = 15,461.28 × 7,431.75
  4. Step 4: Simplify right side
    11,206.76x = 114,904,367.64
  5. Step 5: Solve for x
    x = 114,904,367.64/11,206.76
  6. Step 6: Final answer
    x = 10,253.13

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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.