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Finding the Fourth Proportional to 10,287.54, 14,197.68 and 8,605.98

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Solution

The fourth proportional to 10,287.54, 14,197.68 and 8,605.98 is: 11,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.54 : 14,197.68 = 8,605.98 : x
  2. Step 2: Convert to fraction form
    10,287.54/14,197.68 = 8,605.98/x
  3. Step 3: Cross multiply
    10,287.54x = 14,197.68 × 8,605.98
  4. Step 4: Simplify right side
    10,287.54x = 122,184,950.13
  5. Step 5: Solve for x
    x = 122,184,950.13/10,287.54
  6. Step 6: Final answer
    x = 11,876.98

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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.