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Finding the Fourth Proportional to 8,036.45, 12,050.16 and 5,506.40

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Solution

The fourth proportional to 8,036.45, 12,050.16 and 5,506.40 is: 8,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.45 : 12,050.16 = 5,506.40 : x
  2. Step 2: Convert to fraction form
    8,036.45/12,050.16 = 5,506.40/x
  3. Step 3: Cross multiply
    8,036.45x = 12,050.16 × 5,506.40
  4. Step 4: Simplify right side
    8,036.45x = 66,352,940.77
  5. Step 5: Solve for x
    x = 66,352,940.77/8,036.45
  6. Step 6: Final answer
    x = 8,256.50

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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.