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Finding the Fourth Proportional to 10,008.81, 13,812.55 and 6,645.83

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Solution

The fourth proportional to 10,008.81, 13,812.55 and 6,645.83 is: 9,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.81 : 13,812.55 = 6,645.83 : x
  2. Step 2: Convert to fraction form
    10,008.81/13,812.55 = 6,645.83/x
  3. Step 3: Cross multiply
    10,008.81x = 13,812.55 × 6,645.83
  4. Step 4: Simplify right side
    10,008.81x = 91,795,773.49
  5. Step 5: Solve for x
    x = 91,795,773.49/10,008.81
  6. Step 6: Final answer
    x = 9,171.50

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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.