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Finding the Fourth Proportional to 10,674.50, 14,730.78 and 6,200.84

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Solution

The fourth proportional to 10,674.50, 14,730.78 and 6,200.84 is: 8,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.50 : 14,730.78 = 6,200.84 : x
  2. Step 2: Convert to fraction form
    10,674.50/14,730.78 = 6,200.84/x
  3. Step 3: Cross multiply
    10,674.50x = 14,730.78 × 6,200.84
  4. Step 4: Simplify right side
    10,674.50x = 91,343,209.86
  5. Step 5: Solve for x
    x = 91,343,209.86/10,674.50
  6. Step 6: Final answer
    x = 8,557.14

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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.