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Finding the Fourth Proportional to 10,199.53, 14,071.75 and 6,661.45

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Solution

The fourth proportional to 10,199.53, 14,071.75 and 6,661.45 is: 9,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.53 : 14,071.75 = 6,661.45 : x
  2. Step 2: Convert to fraction form
    10,199.53/14,071.75 = 6,661.45/x
  3. Step 3: Cross multiply
    10,199.53x = 14,071.75 × 6,661.45
  4. Step 4: Simplify right side
    10,199.53x = 93,738,259.04
  5. Step 5: Solve for x
    x = 93,738,259.04/10,199.53
  6. Step 6: Final answer
    x = 9,190.45

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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.