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Finding the Fourth Proportional to 7,707.79, 11,554.08 and 3,024.87

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Solution

The fourth proportional to 7,707.79, 11,554.08 and 3,024.87 is: 4,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.79 : 11,554.08 = 3,024.87 : x
  2. Step 2: Convert to fraction form
    7,707.79/11,554.08 = 3,024.87/x
  3. Step 3: Cross multiply
    7,707.79x = 11,554.08 × 3,024.87
  4. Step 4: Simplify right side
    7,707.79x = 34,949,589.97
  5. Step 5: Solve for x
    x = 34,949,589.97/7,707.79
  6. Step 6: Final answer
    x = 4,534.32

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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.