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Finding the Fourth Proportional to 10,110.61, 13,954.94 and 6,567.67

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Solution

The fourth proportional to 10,110.61, 13,954.94 and 6,567.67 is: 9,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110.61 : 13,954.94 = 6,567.67 : x
  2. Step 2: Convert to fraction form
    10,110.61/13,954.94 = 6,567.67/x
  3. Step 3: Cross multiply
    10,110.61x = 13,954.94 × 6,567.67
  4. Step 4: Simplify right side
    10,110.61x = 91,651,440.79
  5. Step 5: Solve for x
    x = 91,651,440.79/10,110.61
  6. Step 6: Final answer
    x = 9,064.88

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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.