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Finding the Fourth Proportional to 10,567.77, 14,593.21 and 6,799.75

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Solution

The fourth proportional to 10,567.77, 14,593.21 and 6,799.75 is: 9,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.77 : 14,593.21 = 6,799.75 : x
  2. Step 2: Convert to fraction form
    10,567.77/14,593.21 = 6,799.75/x
  3. Step 3: Cross multiply
    10,567.77x = 14,593.21 × 6,799.75
  4. Step 4: Simplify right side
    10,567.77x = 99,230,164.46
  5. Step 5: Solve for x
    x = 99,230,164.46/10,567.77
  6. Step 6: Final answer
    x = 9,389.89

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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.