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Finding the Fourth Proportional to 6,592.29, 9,886.02 and 1,911.03

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Solution

The fourth proportional to 6,592.29, 9,886.02 and 1,911.03 is: 2,865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.29 : 9,886.02 = 1,911.03 : x
  2. Step 2: Convert to fraction form
    6,592.29/9,886.02 = 1,911.03/x
  3. Step 3: Cross multiply
    6,592.29x = 9,886.02 × 1,911.03
  4. Step 4: Simplify right side
    6,592.29x = 18,892,480.80
  5. Step 5: Solve for x
    x = 18,892,480.80/6,592.29
  6. Step 6: Final answer
    x = 2,865.84

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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.