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Finding the Fourth Proportional to 10,004.58, 14,989.66 and 5,000.20

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Solution

The fourth proportional to 10,004.58, 14,989.66 and 5,000.20 is: 7,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.58 : 14,989.66 = 5,000.20 : x
  2. Step 2: Convert to fraction form
    10,004.58/14,989.66 = 5,000.20/x
  3. Step 3: Cross multiply
    10,004.58x = 14,989.66 × 5,000.20
  4. Step 4: Simplify right side
    10,004.58x = 74,951,247.96
  5. Step 5: Solve for x
    x = 74,951,247.96/10,004.58
  6. Step 6: Final answer
    x = 7,491.69

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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.