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Finding the Fourth Proportional to 10,205.80, 15,317.70 and 6,040.60

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Solution

The fourth proportional to 10,205.80, 15,317.70 and 6,040.60 is: 9,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.80 : 15,317.70 = 6,040.60 : x
  2. Step 2: Convert to fraction form
    10,205.80/15,317.70 = 6,040.60/x
  3. Step 3: Cross multiply
    10,205.80x = 15,317.70 × 6,040.60
  4. Step 4: Simplify right side
    10,205.80x = 92,528,098.62
  5. Step 5: Solve for x
    x = 92,528,098.62/10,205.80
  6. Step 6: Final answer
    x = 9,066.23

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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.