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Finding the Fourth Proportional to 8,430.68, 12,644.91 and 2,507.47

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Solution

The fourth proportional to 8,430.68, 12,644.91 and 2,507.47 is: 3,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.68 : 12,644.91 = 2,507.47 : x
  2. Step 2: Convert to fraction form
    8,430.68/12,644.91 = 2,507.47/x
  3. Step 3: Cross multiply
    8,430.68x = 12,644.91 × 2,507.47
  4. Step 4: Simplify right side
    8,430.68x = 31,706,700.87
  5. Step 5: Solve for x
    x = 31,706,700.87/8,430.68
  6. Step 6: Final answer
    x = 3,760.87

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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.