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Finding the Fourth Proportional to 10,667.10, 16,000.65 and 3,742.30

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Solution

The fourth proportional to 10,667.10, 16,000.65 and 3,742.30 is: 5,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.10 : 16,000.65 = 3,742.30 : x
  2. Step 2: Convert to fraction form
    10,667.10/16,000.65 = 3,742.30/x
  3. Step 3: Cross multiply
    10,667.10x = 16,000.65 × 3,742.30
  4. Step 4: Simplify right side
    10,667.10x = 59,879,232.50
  5. Step 5: Solve for x
    x = 59,879,232.50/10,667.10
  6. Step 6: Final answer
    x = 5,613.45

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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.