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Finding the Fourth Proportional to 10,729.95, 16,092.50 and 4,803.72

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Solution

The fourth proportional to 10,729.95, 16,092.50 and 4,803.72 is: 7,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.95 : 16,092.50 = 4,803.72 : x
  2. Step 2: Convert to fraction form
    10,729.95/16,092.50 = 4,803.72/x
  3. Step 3: Cross multiply
    10,729.95x = 16,092.50 × 4,803.72
  4. Step 4: Simplify right side
    10,729.95x = 77,303,840.08
  5. Step 5: Solve for x
    x = 77,303,840.08/10,729.95
  6. Step 6: Final answer
    x = 7,204.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.