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Finding the Fourth Proportional to 7,829.68, 11,742 and 7,312

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Solution

The fourth proportional to 7,829.68, 11,742 and 7,312 is: 10,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.68 : 11,742 = 7,312 : x
  2. Step 2: Convert to fraction form
    7,829.68/11,742 = 7,312/x
  3. Step 3: Cross multiply
    7,829.68x = 11,742 × 7,312
  4. Step 4: Simplify right side
    7,829.68x = 85,857,504
  5. Step 5: Solve for x
    x = 85,857,504/7,829.68
  6. Step 6: Final answer
    x = 10,965.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.