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Finding the Fourth Proportional to 8,535.50, 11,779.17 and 4,809.50

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Solution

The fourth proportional to 8,535.50, 11,779.17 and 4,809.50 is: 6,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.50 : 11,779.17 = 4,809.50 : x
  2. Step 2: Convert to fraction form
    8,535.50/11,779.17 = 4,809.50/x
  3. Step 3: Cross multiply
    8,535.50x = 11,779.17 × 4,809.50
  4. Step 4: Simplify right side
    8,535.50x = 56,651,918.12
  5. Step 5: Solve for x
    x = 56,651,918.12/8,535.50
  6. Step 6: Final answer
    x = 6,637.21

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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.