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Finding the Fourth Proportional to 8,156.32, 12,124.50 and 7,916.86

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Solution

The fourth proportional to 8,156.32, 12,124.50 and 7,916.86 is: 11,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.32 : 12,124.50 = 7,916.86 : x
  2. Step 2: Convert to fraction form
    8,156.32/12,124.50 = 7,916.86/x
  3. Step 3: Cross multiply
    8,156.32x = 12,124.50 × 7,916.86
  4. Step 4: Simplify right side
    8,156.32x = 95,987,969.07
  5. Step 5: Solve for x
    x = 95,987,969.07/8,156.32
  6. Step 6: Final answer
    x = 11,768.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.