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Finding the Fourth Proportional to 8,284.74, 11,434.22 and 5,307.67

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Solution

The fourth proportional to 8,284.74, 11,434.22 and 5,307.67 is: 7,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.74 : 11,434.22 = 5,307.67 : x
  2. Step 2: Convert to fraction form
    8,284.74/11,434.22 = 5,307.67/x
  3. Step 3: Cross multiply
    8,284.74x = 11,434.22 × 5,307.67
  4. Step 4: Simplify right side
    8,284.74x = 60,689,066.47
  5. Step 5: Solve for x
    x = 60,689,066.47/8,284.74
  6. Step 6: Final answer
    x = 7,325.40

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Why These Related Problems?

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