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Finding the Fourth Proportional to 10,679.16, 14,729.46 and 7,136.16

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Solution

The fourth proportional to 10,679.16, 14,729.46 and 7,136.16 is: 9,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.16 : 14,729.46 = 7,136.16 : x
  2. Step 2: Convert to fraction form
    10,679.16/14,729.46 = 7,136.16/x
  3. Step 3: Cross multiply
    10,679.16x = 14,729.46 × 7,136.16
  4. Step 4: Simplify right side
    10,679.16x = 105,111,783.27
  5. Step 5: Solve for x
    x = 105,111,783.27/10,679.16
  6. Step 6: Final answer
    x = 9,842.70

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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.