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Finding the Fourth Proportional to 10,677.75, 14,735.19 and 5,897.69

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Solution

The fourth proportional to 10,677.75, 14,735.19 and 5,897.69 is: 8,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.75 : 14,735.19 = 5,897.69 : x
  2. Step 2: Convert to fraction form
    10,677.75/14,735.19 = 5,897.69/x
  3. Step 3: Cross multiply
    10,677.75x = 14,735.19 × 5,897.69
  4. Step 4: Simplify right side
    10,677.75x = 86,903,582.71
  5. Step 5: Solve for x
    x = 86,903,582.71/10,677.75
  6. Step 6: Final answer
    x = 8,138.75

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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.