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Finding the Fourth Proportional to 11,484.22, 15,847.00 and 6,448.99

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Solution

The fourth proportional to 11,484.22, 15,847.00 and 6,448.99 is: 8,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.22 : 15,847.00 = 6,448.99 : x
  2. Step 2: Convert to fraction form
    11,484.22/15,847.00 = 6,448.99/x
  3. Step 3: Cross multiply
    11,484.22x = 15,847.00 × 6,448.99
  4. Step 4: Simplify right side
    11,484.22x = 102,197,088.79
  5. Step 5: Solve for x
    x = 102,197,088.79/11,484.22
  6. Step 6: Final answer
    x = 8,898.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.