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Finding the Fourth Proportional to 7,713.72, 11,544.24 and 4,901.13

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Solution

The fourth proportional to 7,713.72, 11,544.24 and 4,901.13 is: 7,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.72 : 11,544.24 = 4,901.13 : x
  2. Step 2: Convert to fraction form
    7,713.72/11,544.24 = 4,901.13/x
  3. Step 3: Cross multiply
    7,713.72x = 11,544.24 × 4,901.13
  4. Step 4: Simplify right side
    7,713.72x = 56,579,820.99
  5. Step 5: Solve for x
    x = 56,579,820.99/7,713.72
  6. Step 6: Final answer
    x = 7,334.96

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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.