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Finding the Fourth Proportional to 8,798.31, 12,143.38 and 5,214.06

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Solution

The fourth proportional to 8,798.31, 12,143.38 and 5,214.06 is: 7,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,798.31 : 12,143.38 = 5,214.06 : x
  2. Step 2: Convert to fraction form
    8,798.31/12,143.38 = 5,214.06/x
  3. Step 3: Cross multiply
    8,798.31x = 12,143.38 × 5,214.06
  4. Step 4: Simplify right side
    8,798.31x = 63,316,311.92
  5. Step 5: Solve for x
    x = 63,316,311.92/8,798.31
  6. Step 6: Final answer
    x = 7,196.42

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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.