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Finding the Fourth Proportional to 10,668.40, 16,002.64 and 3,738

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Solution

The fourth proportional to 10,668.40, 16,002.64 and 3,738 is: 5,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.40 : 16,002.64 = 3,738 : x
  2. Step 2: Convert to fraction form
    10,668.40/16,002.64 = 3,738/x
  3. Step 3: Cross multiply
    10,668.40x = 16,002.64 × 3,738
  4. Step 4: Simplify right side
    10,668.40x = 59,817,868.32
  5. Step 5: Solve for x
    x = 59,817,868.32/10,668.40
  6. Step 6: Final answer
    x = 5,607.01

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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.