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Finding the Fourth Proportional to 10,385.40, 15,578.10 and 8,052.60

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Solution

The fourth proportional to 10,385.40, 15,578.10 and 8,052.60 is: 12,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.40 : 15,578.10 = 8,052.60 : x
  2. Step 2: Convert to fraction form
    10,385.40/15,578.10 = 8,052.60/x
  3. Step 3: Cross multiply
    10,385.40x = 15,578.10 × 8,052.60
  4. Step 4: Simplify right side
    10,385.40x = 125,444,208.06
  5. Step 5: Solve for x
    x = 125,444,208.06/10,385.40
  6. Step 6: Final answer
    x = 12,078.90

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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.