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Finding the Fourth Proportional to 10,423.06, 14,382.47 and 5,946.54

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Solution

The fourth proportional to 10,423.06, 14,382.47 and 5,946.54 is: 8,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.06 : 14,382.47 = 5,946.54 : x
  2. Step 2: Convert to fraction form
    10,423.06/14,382.47 = 5,946.54/x
  3. Step 3: Cross multiply
    10,423.06x = 14,382.47 × 5,946.54
  4. Step 4: Simplify right side
    10,423.06x = 85,525,894.09
  5. Step 5: Solve for x
    x = 85,525,894.09/10,423.06
  6. Step 6: Final answer
    x = 8,205.45

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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.