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Finding the Fourth Proportional to 10,634.40, 14,675.68 and 5,918.98

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Solution

The fourth proportional to 10,634.40, 14,675.68 and 5,918.98 is: 8,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.40 : 14,675.68 = 5,918.98 : x
  2. Step 2: Convert to fraction form
    10,634.40/14,675.68 = 5,918.98/x
  3. Step 3: Cross multiply
    10,634.40x = 14,675.68 × 5,918.98
  4. Step 4: Simplify right side
    10,634.40x = 86,865,056.41
  5. Step 5: Solve for x
    x = 86,865,056.41/10,634.40
  6. Step 6: Final answer
    x = 8,168.31

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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.