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Finding the Fourth Proportional to 11,484.12, 15,847.74 and 6,448.35

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Solution

The fourth proportional to 11,484.12, 15,847.74 and 6,448.35 is: 8,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.12 : 15,847.74 = 6,448.35 : x
  2. Step 2: Convert to fraction form
    11,484.12/15,847.74 = 6,448.35/x
  3. Step 3: Cross multiply
    11,484.12x = 15,847.74 × 6,448.35
  4. Step 4: Simplify right side
    11,484.12x = 102,191,774.23
  5. Step 5: Solve for x
    x = 102,191,774.23/11,484.12
  6. Step 6: Final answer
    x = 8,898.53

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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.