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Finding the Fourth Proportional to 11,698.42, 17,545.74 and 4,301.06

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Solution

The fourth proportional to 11,698.42, 17,545.74 and 4,301.06 is: 6,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.42 : 17,545.74 = 4,301.06 : x
  2. Step 2: Convert to fraction form
    11,698.42/17,545.74 = 4,301.06/x
  3. Step 3: Cross multiply
    11,698.42x = 17,545.74 × 4,301.06
  4. Step 4: Simplify right side
    11,698.42x = 75,465,280.48
  5. Step 5: Solve for x
    x = 75,465,280.48/11,698.42
  6. Step 6: Final answer
    x = 6,450.90

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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.