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Finding the Fourth Proportional to 11,308.29, 15,603.42 and 6,829.04

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Solution

The fourth proportional to 11,308.29, 15,603.42 and 6,829.04 is: 9,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.29 : 15,603.42 = 6,829.04 : x
  2. Step 2: Convert to fraction form
    11,308.29/15,603.42 = 6,829.04/x
  3. Step 3: Cross multiply
    11,308.29x = 15,603.42 × 6,829.04
  4. Step 4: Simplify right side
    11,308.29x = 106,556,301.30
  5. Step 5: Solve for x
    x = 106,556,301.30/11,308.29
  6. Step 6: Final answer
    x = 9,422.85

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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.