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Finding the Fourth Proportional to 10,692.86, 14,756.58 and 5,977.13

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Solution

The fourth proportional to 10,692.86, 14,756.58 and 5,977.13 is: 8,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.86 : 14,756.58 = 5,977.13 : x
  2. Step 2: Convert to fraction form
    10,692.86/14,756.58 = 5,977.13/x
  3. Step 3: Cross multiply
    10,692.86x = 14,756.58 × 5,977.13
  4. Step 4: Simplify right side
    10,692.86x = 88,201,923.23
  5. Step 5: Solve for x
    x = 88,201,923.23/10,692.86
  6. Step 6: Final answer
    x = 8,248.68

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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.