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Finding the Fourth Proportional to 8,430.75, 12,647.61 and 2,884.68

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Solution

The fourth proportional to 8,430.75, 12,647.61 and 2,884.68 is: 4,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.75 : 12,647.61 = 2,884.68 : x
  2. Step 2: Convert to fraction form
    8,430.75/12,647.61 = 2,884.68/x
  3. Step 3: Cross multiply
    8,430.75x = 12,647.61 × 2,884.68
  4. Step 4: Simplify right side
    8,430.75x = 36,484,307.61
  5. Step 5: Solve for x
    x = 36,484,307.61/8,430.75
  6. Step 6: Final answer
    x = 4,327.53

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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.