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Finding the Fourth Proportional to 10,542.63, 14,550.29 and 6,066.30

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Solution

The fourth proportional to 10,542.63, 14,550.29 and 6,066.30 is: 8,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.63 : 14,550.29 = 6,066.30 : x
  2. Step 2: Convert to fraction form
    10,542.63/14,550.29 = 6,066.30/x
  3. Step 3: Cross multiply
    10,542.63x = 14,550.29 × 6,066.30
  4. Step 4: Simplify right side
    10,542.63x = 88,266,424.23
  5. Step 5: Solve for x
    x = 88,266,424.23/10,542.63
  6. Step 6: Final answer
    x = 8,372.33

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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.