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Finding the Fourth Proportional to 7,719.17, 11,585.97 and 4,024.08

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Solution

The fourth proportional to 7,719.17, 11,585.97 and 4,024.08 is: 6,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.17 : 11,585.97 = 4,024.08 : x
  2. Step 2: Convert to fraction form
    7,719.17/11,585.97 = 4,024.08/x
  3. Step 3: Cross multiply
    7,719.17x = 11,585.97 × 4,024.08
  4. Step 4: Simplify right side
    7,719.17x = 46,622,870.16
  5. Step 5: Solve for x
    x = 46,622,870.16/7,719.17
  6. Step 6: Final answer
    x = 6,039.89

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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.