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Finding the Fourth Proportional to 7,728.74, 11,594.01 and 2,461.90

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Solution

The fourth proportional to 7,728.74, 11,594.01 and 2,461.90 is: 3,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.74 : 11,594.01 = 2,461.90 : x
  2. Step 2: Convert to fraction form
    7,728.74/11,594.01 = 2,461.90/x
  3. Step 3: Cross multiply
    7,728.74x = 11,594.01 × 2,461.90
  4. Step 4: Simplify right side
    7,728.74x = 28,543,293.22
  5. Step 5: Solve for x
    x = 28,543,293.22/7,728.74
  6. Step 6: Final answer
    x = 3,693.14

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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.