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Finding the Fourth Proportional to 8,037.30, 12,051.90 and 4,751.40

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Solution

The fourth proportional to 8,037.30, 12,051.90 and 4,751.40 is: 7,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.30 : 12,051.90 = 4,751.40 : x
  2. Step 2: Convert to fraction form
    8,037.30/12,051.90 = 4,751.40/x
  3. Step 3: Cross multiply
    8,037.30x = 12,051.90 × 4,751.40
  4. Step 4: Simplify right side
    8,037.30x = 57,263,397.66
  5. Step 5: Solve for x
    x = 57,263,397.66/8,037.30
  6. Step 6: Final answer
    x = 7,124.71

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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.