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Finding the Fourth Proportional to 8,484.69, 12,728.51 and 2,861.84

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Solution

The fourth proportional to 8,484.69, 12,728.51 and 2,861.84 is: 4,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.69 : 12,728.51 = 2,861.84 : x
  2. Step 2: Convert to fraction form
    8,484.69/12,728.51 = 2,861.84/x
  3. Step 3: Cross multiply
    8,484.69x = 12,728.51 × 2,861.84
  4. Step 4: Simplify right side
    8,484.69x = 36,426,881.11
  5. Step 5: Solve for x
    x = 36,426,881.11/8,484.69
  6. Step 6: Final answer
    x = 4,293.25

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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.