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Finding the Fourth Proportional to 8,534.70, 11,779.82 and 5,545.32

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Solution

The fourth proportional to 8,534.70, 11,779.82 and 5,545.32 is: 7,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.70 : 11,779.82 = 5,545.32 : x
  2. Step 2: Convert to fraction form
    8,534.70/11,779.82 = 5,545.32/x
  3. Step 3: Cross multiply
    8,534.70x = 11,779.82 × 5,545.32
  4. Step 4: Simplify right side
    8,534.70x = 65,322,871.44
  5. Step 5: Solve for x
    x = 65,322,871.44/8,534.70
  6. Step 6: Final answer
    x = 7,653.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.