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Finding the Fourth Proportional to 10,634.63, 14,673.68 and 5,918.00

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Solution

The fourth proportional to 10,634.63, 14,673.68 and 5,918.00 is: 8,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.63 : 14,673.68 = 5,918.00 : x
  2. Step 2: Convert to fraction form
    10,634.63/14,673.68 = 5,918.00/x
  3. Step 3: Cross multiply
    10,634.63x = 14,673.68 × 5,918.00
  4. Step 4: Simplify right side
    10,634.63x = 86,838,845.33
  5. Step 5: Solve for x
    x = 86,838,845.33/10,634.63
  6. Step 6: Final answer
    x = 8,165.66

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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.