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Finding the Fourth Proportional to 28,535.12, 42,802.68 and 7,760.24

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Solution

The fourth proportional to 28,535.12, 42,802.68 and 7,760.24 is: 11,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,535.12 : 42,802.68 = 7,760.24 : x
  2. Step 2: Convert to fraction form
    28,535.12/42,802.68 = 7,760.24/x
  3. Step 3: Cross multiply
    28,535.12x = 42,802.68 × 7,760.24
  4. Step 4: Simplify right side
    28,535.12x = 332,159,069.44
  5. Step 5: Solve for x
    x = 332,159,069.44/28,535.12
  6. Step 6: Final answer
    x = 11,640.36

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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.