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Finding the Fourth Proportional to 11,463.77, 17,200.52 and 6,263.57

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Solution

The fourth proportional to 11,463.77, 17,200.52 and 6,263.57 is: 9,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.77 : 17,200.52 = 6,263.57 : x
  2. Step 2: Convert to fraction form
    11,463.77/17,200.52 = 6,263.57/x
  3. Step 3: Cross multiply
    11,463.77x = 17,200.52 × 6,263.57
  4. Step 4: Simplify right side
    11,463.77x = 107,736,661.06
  5. Step 5: Solve for x
    x = 107,736,661.06/11,463.77
  6. Step 6: Final answer
    x = 9,398.01

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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.