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Finding the Fourth Proportional to 8,407.80, 11,605.68 and 5,763.96

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Solution

The fourth proportional to 8,407.80, 11,605.68 and 5,763.96 is: 7,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.80 : 11,605.68 = 5,763.96 : x
  2. Step 2: Convert to fraction form
    8,407.80/11,605.68 = 5,763.96/x
  3. Step 3: Cross multiply
    8,407.80x = 11,605.68 × 5,763.96
  4. Step 4: Simplify right side
    8,407.80x = 66,894,675.29
  5. Step 5: Solve for x
    x = 66,894,675.29/8,407.80
  6. Step 6: Final answer
    x = 7,956.26

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1.5x scale

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.