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Finding the Fourth Proportional to 10,004.20, 15,038.70 and 8,578.60

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Solution

The fourth proportional to 10,004.20, 15,038.70 and 8,578.60 is: 12,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.20 : 15,038.70 = 8,578.60 : x
  2. Step 2: Convert to fraction form
    10,004.20/15,038.70 = 8,578.60/x
  3. Step 3: Cross multiply
    10,004.20x = 15,038.70 × 8,578.60
  4. Step 4: Simplify right side
    10,004.20x = 129,010,991.82
  5. Step 5: Solve for x
    x = 129,010,991.82/10,004.20
  6. Step 6: Final answer
    x = 12,895.68

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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.