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Finding the Fourth Proportional to 10,199.85, 15,305.63 and 4,576.86

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Solution

The fourth proportional to 10,199.85, 15,305.63 and 4,576.86 is: 6,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.85 : 15,305.63 = 4,576.86 : x
  2. Step 2: Convert to fraction form
    10,199.85/15,305.63 = 4,576.86/x
  3. Step 3: Cross multiply
    10,199.85x = 15,305.63 × 4,576.86
  4. Step 4: Simplify right side
    10,199.85x = 70,051,702.84
  5. Step 5: Solve for x
    x = 70,051,702.84/10,199.85
  6. Step 6: Final answer
    x = 6,867.92

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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.