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Finding the Fourth Proportional to 11,946.50, 16,478.53 and 7,703.00

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Solution

The fourth proportional to 11,946.50, 16,478.53 and 7,703.00 is: 10,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.50 : 16,478.53 = 7,703.00 : x
  2. Step 2: Convert to fraction form
    11,946.50/16,478.53 = 7,703.00/x
  3. Step 3: Cross multiply
    11,946.50x = 16,478.53 × 7,703.00
  4. Step 4: Simplify right side
    11,946.50x = 126,934,014.94
  5. Step 5: Solve for x
    x = 126,934,014.94/11,946.50
  6. Step 6: Final answer
    x = 10,625.21

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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.