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Finding the Fourth Proportional to 10,195.02, 15,258.50 and 5,811.30

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Solution

The fourth proportional to 10,195.02, 15,258.50 and 5,811.30 is: 8,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.02 : 15,258.50 = 5,811.30 : x
  2. Step 2: Convert to fraction form
    10,195.02/15,258.50 = 5,811.30/x
  3. Step 3: Cross multiply
    10,195.02x = 15,258.50 × 5,811.30
  4. Step 4: Simplify right side
    10,195.02x = 88,671,721.05
  5. Step 5: Solve for x
    x = 88,671,721.05/10,195.02
  6. Step 6: Final answer
    x = 8,697.55

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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.