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Finding the Fourth Proportional to 10,152.94, 14,011.08 and 5,676.70

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Solution

The fourth proportional to 10,152.94, 14,011.08 and 5,676.70 is: 7,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.94 : 14,011.08 = 5,676.70 : x
  2. Step 2: Convert to fraction form
    10,152.94/14,011.08 = 5,676.70/x
  3. Step 3: Cross multiply
    10,152.94x = 14,011.08 × 5,676.70
  4. Step 4: Simplify right side
    10,152.94x = 79,536,697.84
  5. Step 5: Solve for x
    x = 79,536,697.84/10,152.94
  6. Step 6: Final answer
    x = 7,833.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.