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Finding the Fourth Proportional to 10,156.89, 15,197.90 and 6,156.61

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Solution

The fourth proportional to 10,156.89, 15,197.90 and 6,156.61 is: 9,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.89 : 15,197.90 = 6,156.61 : x
  2. Step 2: Convert to fraction form
    10,156.89/15,197.90 = 6,156.61/x
  3. Step 3: Cross multiply
    10,156.89x = 15,197.90 × 6,156.61
  4. Step 4: Simplify right side
    10,156.89x = 93,567,474.34
  5. Step 5: Solve for x
    x = 93,567,474.34/10,156.89
  6. Step 6: Final answer
    x = 9,212.21

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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.