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Finding the Fourth Proportional to 11,711.78, 17,570.02 and 4,316.28

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Solution

The fourth proportional to 11,711.78, 17,570.02 and 4,316.28 is: 6,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.78 : 17,570.02 = 4,316.28 : x
  2. Step 2: Convert to fraction form
    11,711.78/17,570.02 = 4,316.28/x
  3. Step 3: Cross multiply
    11,711.78x = 17,570.02 × 4,316.28
  4. Step 4: Simplify right side
    11,711.78x = 75,837,125.93
  5. Step 5: Solve for x
    x = 75,837,125.93/11,711.78
  6. Step 6: Final answer
    x = 6,475.29

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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.