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Finding the Fourth Proportional to 8,430.88, 12,651.20 and 5,509.12

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Solution

The fourth proportional to 8,430.88, 12,651.20 and 5,509.12 is: 8,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.88 : 12,651.20 = 5,509.12 : x
  2. Step 2: Convert to fraction form
    8,430.88/12,651.20 = 5,509.12/x
  3. Step 3: Cross multiply
    8,430.88x = 12,651.20 × 5,509.12
  4. Step 4: Simplify right side
    8,430.88x = 69,696,978.94
  5. Step 5: Solve for x
    x = 69,696,978.94/8,430.88
  6. Step 6: Final answer
    x = 8,266.87

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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.