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Finding the Fourth Proportional to 10,039.42, 13,841.80 and 6,448.04

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Solution

The fourth proportional to 10,039.42, 13,841.80 and 6,448.04 is: 8,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.42 : 13,841.80 = 6,448.04 : x
  2. Step 2: Convert to fraction form
    10,039.42/13,841.80 = 6,448.04/x
  3. Step 3: Cross multiply
    10,039.42x = 13,841.80 × 6,448.04
  4. Step 4: Simplify right side
    10,039.42x = 89,252,480.07
  5. Step 5: Solve for x
    x = 89,252,480.07/10,039.42
  6. Step 6: Final answer
    x = 8,890.20

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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.