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Finding the Fourth Proportional to 8,370.50, 12,548.58 and 3,437.06

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Solution

The fourth proportional to 8,370.50, 12,548.58 and 3,437.06 is: 5,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.50 : 12,548.58 = 3,437.06 : x
  2. Step 2: Convert to fraction form
    8,370.50/12,548.58 = 3,437.06/x
  3. Step 3: Cross multiply
    8,370.50x = 12,548.58 × 3,437.06
  4. Step 4: Simplify right side
    8,370.50x = 43,130,222.37
  5. Step 5: Solve for x
    x = 43,130,222.37/8,370.50
  6. Step 6: Final answer
    x = 5,152.65

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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.