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Finding the Fourth Proportional to 10,729.42, 14,803.82 and 6,477.12

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Solution

The fourth proportional to 10,729.42, 14,803.82 and 6,477.12 is: 8,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.42 : 14,803.82 = 6,477.12 : x
  2. Step 2: Convert to fraction form
    10,729.42/14,803.82 = 6,477.12/x
  3. Step 3: Cross multiply
    10,729.42x = 14,803.82 × 6,477.12
  4. Step 4: Simplify right side
    10,729.42x = 95,886,118.60
  5. Step 5: Solve for x
    x = 95,886,118.60/10,729.42
  6. Step 6: Final answer
    x = 8,936.75

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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.