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Finding the Fourth Proportional to 10,152.00, 15,221.06 and 5,408.86

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Solution

The fourth proportional to 10,152.00, 15,221.06 and 5,408.86 is: 8,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.00 : 15,221.06 = 5,408.86 : x
  2. Step 2: Convert to fraction form
    10,152.00/15,221.06 = 5,408.86/x
  3. Step 3: Cross multiply
    10,152.00x = 15,221.06 × 5,408.86
  4. Step 4: Simplify right side
    10,152.00x = 82,328,634.17
  5. Step 5: Solve for x
    x = 82,328,634.17/10,152.00
  6. Step 6: Final answer
    x = 8,109.60

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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.