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Finding the Fourth Proportional to 10,286.98, 15,418.80 and 4,728.84

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Solution

The fourth proportional to 10,286.98, 15,418.80 and 4,728.84 is: 7,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.98 : 15,418.80 = 4,728.84 : x
  2. Step 2: Convert to fraction form
    10,286.98/15,418.80 = 4,728.84/x
  3. Step 3: Cross multiply
    10,286.98x = 15,418.80 × 4,728.84
  4. Step 4: Simplify right side
    10,286.98x = 72,913,038.19
  5. Step 5: Solve for x
    x = 72,913,038.19/10,286.98
  6. Step 6: Final answer
    x = 7,087.90

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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.