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Finding the Fourth Proportional to 7,005.90, 10,506.54 and 5,447.67

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Solution

The fourth proportional to 7,005.90, 10,506.54 and 5,447.67 is: 8,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.90 : 10,506.54 = 5,447.67 : x
  2. Step 2: Convert to fraction form
    7,005.90/10,506.54 = 5,447.67/x
  3. Step 3: Cross multiply
    7,005.90x = 10,506.54 × 5,447.67
  4. Step 4: Simplify right side
    7,005.90x = 57,236,162.76
  5. Step 5: Solve for x
    x = 57,236,162.76/7,005.90
  6. Step 6: Final answer
    x = 8,169.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.