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Finding the Fourth Proportional to 4,765.11, 7,147.05 and 1,478.13

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Solution

The fourth proportional to 4,765.11, 7,147.05 and 1,478.13 is: 2,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.11 : 7,147.05 = 1,478.13 : x
  2. Step 2: Convert to fraction form
    4,765.11/7,147.05 = 1,478.13/x
  3. Step 3: Cross multiply
    4,765.11x = 7,147.05 × 1,478.13
  4. Step 4: Simplify right side
    4,765.11x = 10,564,269.02
  5. Step 5: Solve for x
    x = 10,564,269.02/4,765.11
  6. Step 6: Final answer
    x = 2,217.00

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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.