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Finding the Fourth Proportional to 11,709.54, 17,521.07 and 7,032.40

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Solution

The fourth proportional to 11,709.54, 17,521.07 and 7,032.40 is: 10,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.54 : 17,521.07 = 7,032.40 : x
  2. Step 2: Convert to fraction form
    11,709.54/17,521.07 = 7,032.40/x
  3. Step 3: Cross multiply
    11,709.54x = 17,521.07 × 7,032.40
  4. Step 4: Simplify right side
    11,709.54x = 123,215,172.67
  5. Step 5: Solve for x
    x = 123,215,172.67/11,709.54
  6. Step 6: Final answer
    x = 10,522.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.