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Finding the Fourth Proportional to 8,036.75, 12,051.74 and 3,038.28

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Solution

The fourth proportional to 8,036.75, 12,051.74 and 3,038.28 is: 4,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.75 : 12,051.74 = 3,038.28 : x
  2. Step 2: Convert to fraction form
    8,036.75/12,051.74 = 3,038.28/x
  3. Step 3: Cross multiply
    8,036.75x = 12,051.74 × 3,038.28
  4. Step 4: Simplify right side
    8,036.75x = 36,616,596.50
  5. Step 5: Solve for x
    x = 36,616,596.50/8,036.75
  6. Step 6: Final answer
    x = 4,556.14

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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.