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Finding the Fourth Proportional to 10,205.80, 15,308.70 and 6,317.80

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Solution

The fourth proportional to 10,205.80, 15,308.70 and 6,317.80 is: 9,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.80 : 15,308.70 = 6,317.80 : x
  2. Step 2: Convert to fraction form
    10,205.80/15,308.70 = 6,317.80/x
  3. Step 3: Cross multiply
    10,205.80x = 15,308.70 × 6,317.80
  4. Step 4: Simplify right side
    10,205.80x = 96,717,304.86
  5. Step 5: Solve for x
    x = 96,717,304.86/10,205.80
  6. Step 6: Final answer
    x = 9,476.70

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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.