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Finding the Fourth Proportional to 8,130.51, 12,205.46 and 4,845.15

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Solution

The fourth proportional to 8,130.51, 12,205.46 and 4,845.15 is: 7,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.51 : 12,205.46 = 4,845.15 : x
  2. Step 2: Convert to fraction form
    8,130.51/12,205.46 = 4,845.15/x
  3. Step 3: Cross multiply
    8,130.51x = 12,205.46 × 4,845.15
  4. Step 4: Simplify right side
    8,130.51x = 59,137,296.63
  5. Step 5: Solve for x
    x = 59,137,296.63/8,130.51
  6. Step 6: Final answer
    x = 7,273.50

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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.