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Finding the Fourth Proportional to 10,803.10, 16,204.65 and 4,647.10

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Solution

The fourth proportional to 10,803.10, 16,204.65 and 4,647.10 is: 6,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.10 : 16,204.65 = 4,647.10 : x
  2. Step 2: Convert to fraction form
    10,803.10/16,204.65 = 4,647.10/x
  3. Step 3: Cross multiply
    10,803.10x = 16,204.65 × 4,647.10
  4. Step 4: Simplify right side
    10,803.10x = 75,304,629.02
  5. Step 5: Solve for x
    x = 75,304,629.02/10,803.10
  6. Step 6: Final answer
    x = 6,970.65

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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.