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Finding the Fourth Proportional to 10,456.29, 14,429.95 and 5,918.63

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Solution

The fourth proportional to 10,456.29, 14,429.95 and 5,918.63 is: 8,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.29 : 14,429.95 = 5,918.63 : x
  2. Step 2: Convert to fraction form
    10,456.29/14,429.95 = 5,918.63/x
  3. Step 3: Cross multiply
    10,456.29x = 14,429.95 × 5,918.63
  4. Step 4: Simplify right side
    10,456.29x = 85,405,448.02
  5. Step 5: Solve for x
    x = 85,405,448.02/10,456.29
  6. Step 6: Final answer
    x = 8,167.85

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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.