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Finding the Fourth Proportional to 10,192.50, 14,065.68 and 5,946.48

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Solution

The fourth proportional to 10,192.50, 14,065.68 and 5,946.48 is: 8,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.50 : 14,065.68 = 5,946.48 : x
  2. Step 2: Convert to fraction form
    10,192.50/14,065.68 = 5,946.48/x
  3. Step 3: Cross multiply
    10,192.50x = 14,065.68 × 5,946.48
  4. Step 4: Simplify right side
    10,192.50x = 83,641,256.93
  5. Step 5: Solve for x
    x = 83,641,256.93/10,192.50
  6. Step 6: Final answer
    x = 8,206.16

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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.