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Finding the Fourth Proportional to 7,728.99, 11,594.39 and 2,462.15

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Solution

The fourth proportional to 7,728.99, 11,594.39 and 2,462.15 is: 3,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.99 : 11,594.39 = 2,462.15 : x
  2. Step 2: Convert to fraction form
    7,728.99/11,594.39 = 2,462.15/x
  3. Step 3: Cross multiply
    7,728.99x = 11,594.39 × 2,462.15
  4. Step 4: Simplify right side
    7,728.99x = 28,547,127.34
  5. Step 5: Solve for x
    x = 28,547,127.34/7,728.99
  6. Step 6: Final answer
    x = 3,693.51

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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.