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Finding the Fourth Proportional to 10,008.86, 15,013.60 and 3,434.96

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Solution

The fourth proportional to 10,008.86, 15,013.60 and 3,434.96 is: 5,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.86 : 15,013.60 = 3,434.96 : x
  2. Step 2: Convert to fraction form
    10,008.86/15,013.60 = 3,434.96/x
  3. Step 3: Cross multiply
    10,008.86x = 15,013.60 × 3,434.96
  4. Step 4: Simplify right side
    10,008.86x = 51,571,031.80
  5. Step 5: Solve for x
    x = 51,571,031.80/10,008.86
  6. Step 6: Final answer
    x = 5,152.54

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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.