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Finding the Fourth Proportional to 10,193.30, 15,289.95 and 2,797.80

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Solution

The fourth proportional to 10,193.30, 15,289.95 and 2,797.80 is: 4,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.30 : 15,289.95 = 2,797.80 : x
  2. Step 2: Convert to fraction form
    10,193.30/15,289.95 = 2,797.80/x
  3. Step 3: Cross multiply
    10,193.30x = 15,289.95 × 2,797.80
  4. Step 4: Simplify right side
    10,193.30x = 42,778,222.11
  5. Step 5: Solve for x
    x = 42,778,222.11/10,193.30
  6. Step 6: Final answer
    x = 4,196.70

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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.