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Finding the Fourth Proportional to 7,004.34, 10,489.23 and 4,073.76

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Solution

The fourth proportional to 7,004.34, 10,489.23 and 4,073.76 is: 6,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.34 : 10,489.23 = 4,073.76 : x
  2. Step 2: Convert to fraction form
    7,004.34/10,489.23 = 4,073.76/x
  3. Step 3: Cross multiply
    7,004.34x = 10,489.23 × 4,073.76
  4. Step 4: Simplify right side
    7,004.34x = 42,730,605.60
  5. Step 5: Solve for x
    x = 42,730,605.60/7,004.34
  6. Step 6: Final answer
    x = 6,100.59

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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.