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Finding the Fourth Proportional to 11,484.34, 15,847.41 and 6,448.16

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Solution

The fourth proportional to 11,484.34, 15,847.41 and 6,448.16 is: 8,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.34 : 15,847.41 = 6,448.16 : x
  2. Step 2: Convert to fraction form
    11,484.34/15,847.41 = 6,448.16/x
  3. Step 3: Cross multiply
    11,484.34x = 15,847.41 × 6,448.16
  4. Step 4: Simplify right side
    11,484.34x = 102,186,699.06
  5. Step 5: Solve for x
    x = 102,186,699.06/11,484.34
  6. Step 6: Final answer
    x = 8,897.92

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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.