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Finding the Fourth Proportional to 8,318, 11,479.14 and 4,592

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Solution

The fourth proportional to 8,318, 11,479.14 and 4,592 is: 6,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318 : 11,479.14 = 4,592 : x
  2. Step 2: Convert to fraction form
    8,318/11,479.14 = 4,592/x
  3. Step 3: Cross multiply
    8,318x = 11,479.14 × 4,592
  4. Step 4: Simplify right side
    8,318x = 52,712,210.88
  5. Step 5: Solve for x
    x = 52,712,210.88/8,318
  6. Step 6: Final answer
    x = 6,337.13

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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.