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Finding the Fourth Proportional to 8,828.14, 12,181.98 and 5,051.38

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Solution

The fourth proportional to 8,828.14, 12,181.98 and 5,051.38 is: 6,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828.14 : 12,181.98 = 5,051.38 : x
  2. Step 2: Convert to fraction form
    8,828.14/12,181.98 = 5,051.38/x
  3. Step 3: Cross multiply
    8,828.14x = 12,181.98 × 5,051.38
  4. Step 4: Simplify right side
    8,828.14x = 61,535,810.13
  5. Step 5: Solve for x
    x = 61,535,810.13/8,828.14
  6. Step 6: Final answer
    x = 6,970.42

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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.