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Finding the Fourth Proportional to 11,570.08, 17,357.82 and 3,779.50

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Solution

The fourth proportional to 11,570.08, 17,357.82 and 3,779.50 is: 5,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.08 : 17,357.82 = 3,779.50 : x
  2. Step 2: Convert to fraction form
    11,570.08/17,357.82 = 3,779.50/x
  3. Step 3: Cross multiply
    11,570.08x = 17,357.82 × 3,779.50
  4. Step 4: Simplify right side
    11,570.08x = 65,603,880.69
  5. Step 5: Solve for x
    x = 65,603,880.69/11,570.08
  6. Step 6: Final answer
    x = 5,670.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.