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Finding the Fourth Proportional to 10,729.47, 14,806.51 and 5,949.42

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Solution

The fourth proportional to 10,729.47, 14,806.51 and 5,949.42 is: 8,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.47 : 14,806.51 = 5,949.42 : x
  2. Step 2: Convert to fraction form
    10,729.47/14,806.51 = 5,949.42/x
  3. Step 3: Cross multiply
    10,729.47x = 14,806.51 × 5,949.42
  4. Step 4: Simplify right side
    10,729.47x = 88,090,146.72
  5. Step 5: Solve for x
    x = 88,090,146.72/10,729.47
  6. Step 6: Final answer
    x = 8,210.11

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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.