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Finding the Fourth Proportional to 8,116.50, 12,150.06 and 5,196.84

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Solution

The fourth proportional to 8,116.50, 12,150.06 and 5,196.84 is: 7,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.50 : 12,150.06 = 5,196.84 : x
  2. Step 2: Convert to fraction form
    8,116.50/12,150.06 = 5,196.84/x
  3. Step 3: Cross multiply
    8,116.50x = 12,150.06 × 5,196.84
  4. Step 4: Simplify right side
    8,116.50x = 63,141,917.81
  5. Step 5: Solve for x
    x = 63,141,917.81/8,116.50
  6. Step 6: Final answer
    x = 7,779.45

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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.