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Finding the Fourth Proportional to 4,763.10, 7,130.53 and 4,560.10

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Solution

The fourth proportional to 4,763.10, 7,130.53 and 4,560.10 is: 6,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.10 : 7,130.53 = 4,560.10 : x
  2. Step 2: Convert to fraction form
    4,763.10/7,130.53 = 4,560.10/x
  3. Step 3: Cross multiply
    4,763.10x = 7,130.53 × 4,560.10
  4. Step 4: Simplify right side
    4,763.10x = 32,515,917.73
  5. Step 5: Solve for x
    x = 32,515,917.73/4,763.10
  6. Step 6: Final answer
    x = 6,826.62

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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.