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Finding the Fourth Proportional to 11,833.47, 16,329.92 and 6,528.29

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Solution

The fourth proportional to 11,833.47, 16,329.92 and 6,528.29 is: 9,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.47 : 16,329.92 = 6,528.29 : x
  2. Step 2: Convert to fraction form
    11,833.47/16,329.92 = 6,528.29/x
  3. Step 3: Cross multiply
    11,833.47x = 16,329.92 × 6,528.29
  4. Step 4: Simplify right side
    11,833.47x = 106,606,388.11
  5. Step 5: Solve for x
    x = 106,606,388.11/11,833.47
  6. Step 6: Final answer
    x = 9,008.89

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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.