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Finding the Fourth Proportional to 10,494.66, 14,473.26 and 7,463.82

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Solution

The fourth proportional to 10,494.66, 14,473.26 and 7,463.82 is: 10,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.66 : 14,473.26 = 7,463.82 : x
  2. Step 2: Convert to fraction form
    10,494.66/14,473.26 = 7,463.82/x
  3. Step 3: Cross multiply
    10,494.66x = 14,473.26 × 7,463.82
  4. Step 4: Simplify right side
    10,494.66x = 108,025,807.45
  5. Step 5: Solve for x
    x = 108,025,807.45/10,494.66
  6. Step 6: Final answer
    x = 10,293.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.