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Finding the Fourth Proportional to 10,840.90, 14,972.78 and 7,297.96

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Solution

The fourth proportional to 10,840.90, 14,972.78 and 7,297.96 is: 10,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.90 : 14,972.78 = 7,297.96 : x
  2. Step 2: Convert to fraction form
    10,840.90/14,972.78 = 7,297.96/x
  3. Step 3: Cross multiply
    10,840.90x = 14,972.78 × 7,297.96
  4. Step 4: Simplify right side
    10,840.90x = 109,270,749.53
  5. Step 5: Solve for x
    x = 109,270,749.53/10,840.90
  6. Step 6: Final answer
    x = 10,079.49

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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.