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Finding the Fourth Proportional to 10,046.81, 13,857.13 and 6,458.51

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Solution

The fourth proportional to 10,046.81, 13,857.13 and 6,458.51 is: 8,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.81 : 13,857.13 = 6,458.51 : x
  2. Step 2: Convert to fraction form
    10,046.81/13,857.13 = 6,458.51/x
  3. Step 3: Cross multiply
    10,046.81x = 13,857.13 × 6,458.51
  4. Step 4: Simplify right side
    10,046.81x = 89,496,412.68
  5. Step 5: Solve for x
    x = 89,496,412.68/10,046.81
  6. Step 6: Final answer
    x = 8,907.94

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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.