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Finding the Fourth Proportional to 11,467.28, 15,828.20 and 7,489

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Solution

The fourth proportional to 11,467.28, 15,828.20 and 7,489 is: 10,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.28 : 15,828.20 = 7,489 : x
  2. Step 2: Convert to fraction form
    11,467.28/15,828.20 = 7,489/x
  3. Step 3: Cross multiply
    11,467.28x = 15,828.20 × 7,489
  4. Step 4: Simplify right side
    11,467.28x = 118,537,389.80
  5. Step 5: Solve for x
    x = 118,537,389.80/11,467.28
  6. Step 6: Final answer
    x = 10,337.01

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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.