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Finding the Fourth Proportional to 10,072.64, 13,899 and 6,095.60

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Solution

The fourth proportional to 10,072.64, 13,899 and 6,095.60 is: 8,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.64 : 13,899 = 6,095.60 : x
  2. Step 2: Convert to fraction form
    10,072.64/13,899 = 6,095.60/x
  3. Step 3: Cross multiply
    10,072.64x = 13,899 × 6,095.60
  4. Step 4: Simplify right side
    10,072.64x = 84,722,744.40
  5. Step 5: Solve for x
    x = 84,722,744.40/10,072.64
  6. Step 6: Final answer
    x = 8,411.18

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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.