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Finding the Fourth Proportional to 10,673.76, 14,729.69 and 5,893.70

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Solution

The fourth proportional to 10,673.76, 14,729.69 and 5,893.70 is: 8,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.76 : 14,729.69 = 5,893.70 : x
  2. Step 2: Convert to fraction form
    10,673.76/14,729.69 = 5,893.70/x
  3. Step 3: Cross multiply
    10,673.76x = 14,729.69 × 5,893.70
  4. Step 4: Simplify right side
    10,673.76x = 86,812,373.04
  5. Step 5: Solve for x
    x = 86,812,373.04/10,673.76
  6. Step 6: Final answer
    x = 8,133.25

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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.