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Finding the Fourth Proportional to 11,802.53, 17,689.20 and 7,107.77

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Solution

The fourth proportional to 11,802.53, 17,689.20 and 7,107.77 is: 10,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.53 : 17,689.20 = 7,107.77 : x
  2. Step 2: Convert to fraction form
    11,802.53/17,689.20 = 7,107.77/x
  3. Step 3: Cross multiply
    11,802.53x = 17,689.20 × 7,107.77
  4. Step 4: Simplify right side
    11,802.53x = 125,730,676.64
  5. Step 5: Solve for x
    x = 125,730,676.64/11,802.53
  6. Step 6: Final answer
    x = 10,652.86

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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.