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Finding the Fourth Proportional to 10,477.90, 15,717.21 and 3,458.08

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Solution

The fourth proportional to 10,477.90, 15,717.21 and 3,458.08 is: 5,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.90 : 15,717.21 = 3,458.08 : x
  2. Step 2: Convert to fraction form
    10,477.90/15,717.21 = 3,458.08/x
  3. Step 3: Cross multiply
    10,477.90x = 15,717.21 × 3,458.08
  4. Step 4: Simplify right side
    10,477.90x = 54,351,369.56
  5. Step 5: Solve for x
    x = 54,351,369.56/10,477.90
  6. Step 6: Final answer
    x = 5,187.24

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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.