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Finding the Fourth Proportional to 10,008.40, 14,996.14 and 3,430.96

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Solution

The fourth proportional to 10,008.40, 14,996.14 and 3,430.96 is: 5,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.40 : 14,996.14 = 3,430.96 : x
  2. Step 2: Convert to fraction form
    10,008.40/14,996.14 = 3,430.96/x
  3. Step 3: Cross multiply
    10,008.40x = 14,996.14 × 3,430.96
  4. Step 4: Simplify right side
    10,008.40x = 51,451,156.49
  5. Step 5: Solve for x
    x = 51,451,156.49/10,008.40
  6. Step 6: Final answer
    x = 5,140.80

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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.