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Finding the Fourth Proportional to 10,873.70, 16,307.28 and 5,676.74

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Solution

The fourth proportional to 10,873.70, 16,307.28 and 5,676.74 is: 8,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.70 : 16,307.28 = 5,676.74 : x
  2. Step 2: Convert to fraction form
    10,873.70/16,307.28 = 5,676.74/x
  3. Step 3: Cross multiply
    10,873.70x = 16,307.28 × 5,676.74
  4. Step 4: Simplify right side
    10,873.70x = 92,572,188.67
  5. Step 5: Solve for x
    x = 92,572,188.67/10,873.70
  6. Step 6: Final answer
    x = 8,513.40

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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.