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Finding the Fourth Proportional to 10,152.92, 14,011.68 and 5,676.69

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Solution

The fourth proportional to 10,152.92, 14,011.68 and 5,676.69 is: 7,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.92 : 14,011.68 = 5,676.69 : x
  2. Step 2: Convert to fraction form
    10,152.92/14,011.68 = 5,676.69/x
  3. Step 3: Cross multiply
    10,152.92x = 14,011.68 × 5,676.69
  4. Step 4: Simplify right side
    10,152.92x = 79,539,963.74
  5. Step 5: Solve for x
    x = 79,539,963.74/10,152.92
  6. Step 6: Final answer
    x = 7,834.20

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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.