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Finding the Fourth Proportional to 8,378.50, 11,561.80 and 4,600.92

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Solution

The fourth proportional to 8,378.50, 11,561.80 and 4,600.92 is: 6,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.50 : 11,561.80 = 4,600.92 : x
  2. Step 2: Convert to fraction form
    8,378.50/11,561.80 = 4,600.92/x
  3. Step 3: Cross multiply
    8,378.50x = 11,561.80 × 4,600.92
  4. Step 4: Simplify right side
    8,378.50x = 53,194,916.86
  5. Step 5: Solve for x
    x = 53,194,916.86/8,378.50
  6. Step 6: Final answer
    x = 6,348.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.