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Finding the Fourth Proportional to 10,605.71, 14,624.48 and 6,625.37

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Solution

The fourth proportional to 10,605.71, 14,624.48 and 6,625.37 is: 9,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.71 : 14,624.48 = 6,625.37 : x
  2. Step 2: Convert to fraction form
    10,605.71/14,624.48 = 6,625.37/x
  3. Step 3: Cross multiply
    10,605.71x = 14,624.48 × 6,625.37
  4. Step 4: Simplify right side
    10,605.71x = 96,892,557.93
  5. Step 5: Solve for x
    x = 96,892,557.93/10,605.71
  6. Step 6: Final answer
    x = 9,135.89

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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.