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Finding the Fourth Proportional to 10,455.72, 14,429.21 and 5,918.06

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Solution

The fourth proportional to 10,455.72, 14,429.21 and 5,918.06 is: 8,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.72 : 14,429.21 = 5,918.06 : x
  2. Step 2: Convert to fraction form
    10,455.72/14,429.21 = 5,918.06/x
  3. Step 3: Cross multiply
    10,455.72x = 14,429.21 × 5,918.06
  4. Step 4: Simplify right side
    10,455.72x = 85,392,937.02
  5. Step 5: Solve for x
    x = 85,392,937.02/10,455.72
  6. Step 6: Final answer
    x = 8,167.11

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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.