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Finding the Fourth Proportional to 11,506.30, 15,907 and 11,401.04

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Solution

The fourth proportional to 11,506.30, 15,907 and 11,401.04 is: 15,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.30 : 15,907 = 11,401.04 : x
  2. Step 2: Convert to fraction form
    11,506.30/15,907 = 11,401.04/x
  3. Step 3: Cross multiply
    11,506.30x = 15,907 × 11,401.04
  4. Step 4: Simplify right side
    11,506.30x = 181,356,343.28
  5. Step 5: Solve for x
    x = 181,356,343.28/11,506.30
  6. Step 6: Final answer
    x = 15,761.48

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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.