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Finding the Fourth Proportional to 11,447.42, 17,164.49 and 3,547.82

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Solution

The fourth proportional to 11,447.42, 17,164.49 and 3,547.82 is: 5,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.42 : 17,164.49 = 3,547.82 : x
  2. Step 2: Convert to fraction form
    11,447.42/17,164.49 = 3,547.82/x
  3. Step 3: Cross multiply
    11,447.42x = 17,164.49 × 3,547.82
  4. Step 4: Simplify right side
    11,447.42x = 60,896,417.35
  5. Step 5: Solve for x
    x = 60,896,417.35/11,447.42
  6. Step 6: Final answer
    x = 5,319.67

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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.