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Finding the Fourth Proportional to 10,646.77, 14,692.44 and 5,866.63

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Solution

The fourth proportional to 10,646.77, 14,692.44 and 5,866.63 is: 8,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.77 : 14,692.44 = 5,866.63 : x
  2. Step 2: Convert to fraction form
    10,646.77/14,692.44 = 5,866.63/x
  3. Step 3: Cross multiply
    10,646.77x = 14,692.44 × 5,866.63
  4. Step 4: Simplify right side
    10,646.77x = 86,195,109.28
  5. Step 5: Solve for x
    x = 86,195,109.28/10,646.77
  6. Step 6: Final answer
    x = 8,095.89

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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.