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Finding the Fourth Proportional to 11,829.48, 16,317.48 and 7,046.28

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Solution

The fourth proportional to 11,829.48, 16,317.48 and 7,046.28 is: 9,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.48 : 16,317.48 = 7,046.28 : x
  2. Step 2: Convert to fraction form
    11,829.48/16,317.48 = 7,046.28/x
  3. Step 3: Cross multiply
    11,829.48x = 16,317.48 × 7,046.28
  4. Step 4: Simplify right side
    11,829.48x = 114,977,532.97
  5. Step 5: Solve for x
    x = 114,977,532.97/11,829.48
  6. Step 6: Final answer
    x = 9,719.58

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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.