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Finding the Fourth Proportional to 10,473.83, 14,448.15 and 6,638.43

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Solution

The fourth proportional to 10,473.83, 14,448.15 and 6,638.43 is: 9,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.83 : 14,448.15 = 6,638.43 : x
  2. Step 2: Convert to fraction form
    10,473.83/14,448.15 = 6,638.43/x
  3. Step 3: Cross multiply
    10,473.83x = 14,448.15 × 6,638.43
  4. Step 4: Simplify right side
    10,473.83x = 95,913,032.40
  5. Step 5: Solve for x
    x = 95,913,032.40/10,473.83
  6. Step 6: Final answer
    x = 9,157.40

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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.