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Finding the Fourth Proportional to 8,434.51, 12,646.37 and 3,507.55

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Solution

The fourth proportional to 8,434.51, 12,646.37 and 3,507.55 is: 5,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.51 : 12,646.37 = 3,507.55 : x
  2. Step 2: Convert to fraction form
    8,434.51/12,646.37 = 3,507.55/x
  3. Step 3: Cross multiply
    8,434.51x = 12,646.37 × 3,507.55
  4. Step 4: Simplify right side
    8,434.51x = 44,357,757.56
  5. Step 5: Solve for x
    x = 44,357,757.56/8,434.51
  6. Step 6: Final answer
    x = 5,259.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.