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Finding the Fourth Proportional to 7,000.02, 10,501.33 and 2,002.19

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Solution

The fourth proportional to 7,000.02, 10,501.33 and 2,002.19 is: 3,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.02 : 10,501.33 = 2,002.19 : x
  2. Step 2: Convert to fraction form
    7,000.02/10,501.33 = 2,002.19/x
  3. Step 3: Cross multiply
    7,000.02x = 10,501.33 × 2,002.19
  4. Step 4: Simplify right side
    7,000.02x = 21,025,657.91
  5. Step 5: Solve for x
    x = 21,025,657.91/7,000.02
  6. Step 6: Final answer
    x = 3,003.66

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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.