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Finding the Fourth Proportional to 8,429.30, 12,642.96 and 5,300.07

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Solution

The fourth proportional to 8,429.30, 12,642.96 and 5,300.07 is: 7,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.30 : 12,642.96 = 5,300.07 : x
  2. Step 2: Convert to fraction form
    8,429.30/12,642.96 = 5,300.07/x
  3. Step 3: Cross multiply
    8,429.30x = 12,642.96 × 5,300.07
  4. Step 4: Simplify right side
    8,429.30x = 67,008,573.01
  5. Step 5: Solve for x
    x = 67,008,573.01/8,429.30
  6. Step 6: Final answer
    x = 7,949.48

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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.