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Finding the Fourth Proportional to 10,727.35, 14,802.94 and 6,010.72

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Solution

The fourth proportional to 10,727.35, 14,802.94 and 6,010.72 is: 8,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.35 : 14,802.94 = 6,010.72 : x
  2. Step 2: Convert to fraction form
    10,727.35/14,802.94 = 6,010.72/x
  3. Step 3: Cross multiply
    10,727.35x = 14,802.94 × 6,010.72
  4. Step 4: Simplify right side
    10,727.35x = 88,976,297.46
  5. Step 5: Solve for x
    x = 88,976,297.46/10,727.35
  6. Step 6: Final answer
    x = 8,294.34

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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.