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Finding the Fourth Proportional to 10,007.40, 14,994.64 and 3,429.96

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Solution

The fourth proportional to 10,007.40, 14,994.64 and 3,429.96 is: 5,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.40 : 14,994.64 = 3,429.96 : x
  2. Step 2: Convert to fraction form
    10,007.40/14,994.64 = 3,429.96/x
  3. Step 3: Cross multiply
    10,007.40x = 14,994.64 × 3,429.96
  4. Step 4: Simplify right side
    10,007.40x = 51,431,015.41
  5. Step 5: Solve for x
    x = 51,431,015.41/10,007.40
  6. Step 6: Final answer
    x = 5,139.30

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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.